stability of singularly perturbed switched systems with time delay and impulsive effects abstract this paper studies the stability properties of singularly perturbed switched systems with time delay and impulsive effects such systems are assumed to consist of both unstable and stable subsystems by using the multiple lyapunov functions technique and the dwell time approach some stability criteria are established our results show that impulses do contribute in order to obtain stability properties even when the system consists of only unstable subsystems numerical examples are presented to verify our theoretical results

brief paper control for discrete singular hybrid systems the problems of stability state feedback control and static output feedback control for a class of discrete time singular hybrid systems are investigated in this paper a new sufficient and necessary condition for a class of discrete time singular hybrid systems to be regular causal and stochastically stable is proposed in terms of a set of coupled strict linear matrix inequalities lmis sufficient conditions are proposed for the existence of state feedback controller and static output feedback controller in terms of a set of coupled strict lmis respectively finally two illustrative examples are provided to demonstrate the applicability of the proposed approach

composite anti disturbance control for markovian jump nonlinear systems via disturbance observer this paper is concerned with the problems of composite disturbance observer based control dobc and control for markovian jump systems with nonlinearity and multiple disturbances our aim is to design a disturbance observer to estimate the disturbance generated by an exogenous system then construct the control scheme by integrating the output of the disturbance observer with state feedback control law such that the closed loop system can be guaranteed to be stochastically stable and different types of disturbances can be attenuated and rejected by constructing a proper stochastic lyapunov krasovskii functional sufficient conditions for the existence of the desired observer and the state feedback controller are established in terms of linear matrix inequalities lmis which can be readily solved by standard numerical software finally a numerical example is provided to show the effectiveness of the proposed approaches

eventual practical stability of impulsive differential equations with time delay in terms of two measurements in this paper we introduce a new stability eventual practical stability for impulsive differential equations with time delay by using lyapunov functions and comparison principle we will get some criteria of eventual practical stability eventual practical quasistability and strong eventual practical stability for impulsive differential equations with time delay in terms of two measurements

existence of non impulsive unique solution and stability for continuous time linear rectangular descriptor markov jump systems abstract this paper investigates the existence of non impulsive unique solution and stochastic stability problems for the continuous time linear rectangular descriptor markov jump systems dmjss at two cases for every case the sufficient and necessary conditions in terms of strict linear matrix inequalities lmis are eventually proposed to guarantee that the continuous time linear dmjss are column row regular column row impulse free stochastically stable and have a unique solution in addition with some assumptions satisfied the conditions obtained in this paper can simultaneously ensure that there is no impulse in the solution at the instant when the markov process jumps finally two examples are provided to demonstrate the effectiveness of the results

h control for singular markovian jump systems with incomplete knowledge of transition probabilities this paper proposes a h state feedback control for singular markovian jump systems with incomplete knowledge of transition probabilities different from the previous results where the transition rates are completely known or the bounds of the unknown transition rates are given a more general situation where the transition rates are partly unknown and the bounds of the unknown transition rates are also unknown is considered moreover in contrast to the singular markovian jump systems studied recently the proposed method does not require any tuning parameters that arise when handling non convex terms related to the mode dependent lyapunov matrices and the corresponding self mode transition rates also this paper uses all possible slack variables related to the transition rates into the relaxation process which contributes to reduce the conservatism finally two numerical examples are provided to demonstrate the performance of h mode dependent control

a weak formulation of roe s approximate riemann solver abstract this paper presents a weak formulation of roe s approximate riemann solver based on a notion of weak solution to nonlinear hyperbolic systems in nonconservative form this weak formulation is applied to the euler equations for real gases and the homogeneous equilibrium two phase flow model numerical results for a two phase flow heat addition problem are given

brief paper fault tolerant control for singular systems with actuator saturation and nonlinear perturbation in this paper the problem of robust fault tolerant control for a class of singular systems subject to both time varying state dependent nonlinear perturbation and actuator saturation is investigated a sufficient condition for the existence of a fixed gain controller is first proposed which guarantees the regularity impulse free and stability of the closed loop system under all possible faults an optimization problem with lmi constraints is formulated to determine the largest contractively invariant ellipsoid an adaptive fault tolerant controller is then developed to compensate for the failure effects on the system by estimating the fault and updating the design parameter matrices online both of these two controllers are in the form of a saturation avoidance feedback with the advantage of relatively small actuator capacities compared with the high gain counterpart an example is included to illustrate the proposed procedures and their effectiveness

robust reliable passive control of uncertain stochastic switched time delay systems this paper investigates the problem of robust reliable passive control for a class of uncertain stochastic switched time delay systems with actuator failures the multiple lyapunov functions mlfs technique is exploited to derive a delay dependent sufficient condition for the stochastic switched time delay systems to be passive and exponentially stable under a state based switching law moreover the proposed approach is extended to investigate stochastic switched systems with structured uncertainties finally two numerical examples are presented to illustrate the effectiveness of the proposed method

on delay differential equations with impulses abstract sufficient conditions are obtained respectively for the asymptotic stability of the trivial solution of x t ax t j 1 bjx tj t tj t tj and for the existence of a nonoscillatory solution conditions are also obtained for all solutions to be oscillatory the asymptotic behaviour of an impulsively perturbed delay logistic equation is investigated as an extension to a nonlinear equation

h control for descriptor systems a matrix inequalities approach abstract this paper considers the h control problem for descriptor systems that possibly have impulsive modes and or j axis zeros first we propose matrix inequalities that give a generalized stability condition and an h norm condition for descriptor systems using these matrix inequalities we show that the solvability of a set of matrix inequalities is necessary and sufficient to the existence of a proper controller that satisfies a prescribed h norm condition as well as stabilizing the closed loop system and eliminating all impulsive modes these inequalities are equivalent to certain linear matrix inequalities to which we can get solutions whenever they exist using efficient polynomial time algorithms

robust stability and stabilization of discrete singular systems an equivalent characterization this note deals with the problems of robust stability and stabilization for uncertain discrete time singular systems the parameter uncertainties are assumed to be time invariant and norm bounded appearing in both the state and input matrices a new necessary and sufficient condition for a discrete time singular system to be regular causal and stable is proposed in terms of a strict linear matrix inequality lmi based on this the concepts of generalized quadratic stability and generalized quadratic stabilization for uncertain discrete time singular systems are introduced necessary and sufficient conditions for generalized quadratic stability and generalized quadratic stabilization are obtained in terms of a strict lmi and a set of matrix inequalities respectively with these conditions the problems of robust stability and robust stabilization are solved an explicit expression of a desired state feedback controller is also given which involves no matrix decomposition finally an illustrative example is provided to demonstrate the applicability of the proposed approach

fault detection filter design for markovian jump singular systems with intermittent measurements this paper addresses the problem of fault detection filter design for discrete time markovian jump singular systems with intermittent measurements the measurement transmission from the plant to the fault detection filter is assumed to be imperfect and a stochastic variable is utilized to model the phenomenon of data missing our attention is focused on the design of a fault detection filter such that the residual system is stochastically markovian jump admissible and satisfies some expected performances a new necessary and sufficient condition for a class of discrete time markovian jump singular systems to be stochastically markovian jump admissible is proposed in the form of strict linear matrix inequalities sufficient conditions are established for the existence of the fault detection filter finally a numerical example is provided to demonstrate the usefulness and applicability of the developed theoretical results

robust h control of descriptor discrete time markovian jump systems this paper considers the stochastic stability and the robust control of descriptor discrete time systems with markovian jumping parameters in terms of linear matrix inequalities a necessary and sufficient condition is proposed which ensures a discrete time descriptor markovian jump system to be regular causal and stochastically stable a robust admissibility condition and a robust bounded real lemma are also developed based on these a sufficient condition on the existence of a state feedback controller which guarantees the robust admissibility and the performance is also given by employing the linear matrix inequality technique a robustly stabilizing state feedback controller can be constructed through the numerical solutions of linear matrix inequalities finally an example is provided to demonstrate the effectiveness of the proposed approach

stability of impulsive functional differential equations abstract in this paper the stability of impulsive functional differential equations in which the state variables on the impulses are related to the time delay is studied by using lyapunov functions and razumikhin techniques some criteria of stability asymptotic stability and practical stability for impulsive functional differential equations in which the state variables on the impulses are related to the time delay are provided some examples are also presented to illustrate the efficiency of the results obtained

global exponential stability for impulsive systems with infinite distributed delay based on flexible impulse frequency abstract this paper investigates the global exponential stability of impulsive systems with infinite distributed delay by introducing two auxiliary functions and two essential lemmas some sufficient conditions of stability are presented based on flexible impulse frequency where impulses are considered as perturbations when the interval between two consecutive impulse times is very small in some time domains our result just asks that it meets our proposed conditions which is different from some exist results the effectiveness of our result is demonstrated through two simulation examples

stabilization of delay systems delay dependent impulsive control the stabilization problem of delay systems is studied under the delay dependent impulsive control the main contributions of this technical note are that for one thing it shows that time delays in impulse term may contribute to the stabilization of delay systems that is a control strategy which does not work without delay feedback in impulse term can be activated to stabilize some unstable delay systems if there exist some time delay feedbacks for another it shows the robustness of impulsive control that is the designed control strategy admits the existence of some time delays in impulse term which may do harm to the stabilization in this technical note from impulsive control point of view we firstly propose an impulsive delay inequality then we apply it to the delay systems which may be originally unstable and derive some delay dependent impulsive control criteria to ensure the stabilization of the addressed systems the effectiveness of the proposed strategy is evidenced by two illustrative examples

persistent impulsive effects on stability of functional differential equations with finite or infinite delay abstract in this paper the stability problem of impulsive functional differential equations ifdes is considered several criteria ensuring the uniform stability of ifdes with finite or infinite delay are derived by establishing some new razumikhin conditions different with the current existing ones our development results can be applied to delay systems with persistent impulsive effects finally an example and its computer simulation is given to show the effectiveness and advantages of the proposed method

on robust stability of singular systems with random abrupt changes this paper deals with the class of continuous time singular linear systems with markovian switching sufficient conditions on stochastic stability and robust stochastic stability are developed in the lmi setting the developed sufficient conditions are used to check if either the nominal or the uncertain systems are regular impulse free and stochastically stable or robust stochastically stable

razumikhin type theorems for time delay systems with persistent impulses abstract the main results of the paper are generalizations of the razumikhin classical theorems for stability analysis of impulsive time delay systems by employing lyapunov razumikhin method and impulsive control theory several razumikhin type theorems for uniform stability and global exponential stability are obtained the significance and novelty of the results lie in that the criteria for stability of impulsive time delay systems admit the existence of persistent impulses and unbounded time varying delays two examples are provided to show the effectiveness of the proposed results

robust stability and stabilization of uncertain discrete time markovian jump linear systems this note deals with robust stability and control of uncertain discrete time linear systems with markovian jumping parameters systems with polytopic type parameter uncertainty in either the state space model matrices or in the transition probability matrix of the markov process are considered this note develops methods of robust stability analysis and robust stabilization in the mean square sense which are dependent on the system uncertainty the design of both mode dependent and mode independent control laws is addressed the proposed methods are given in terms of linear matrix inequalities numerical examples are provided to demonstrate the effectiveness of the derived results

the nonoscillatory solutions of delay differential equations with impulses abstract we obtain a sufficient condition for the impulsive delay differential equation t i 1 n p i t r i t t t k t k t k i k t k k n to have a nonoscillatory solution

technical communique new bounded real lemma for discrete time singular systems in this paper the problem of bounded real lemma for discrete time singular system with strict matrix inequalities is investigated it is proved that the bounded real lemma for discrete singular system can be described by a strict matrix inequality the results lead to more tractable and reliable computation when applying them to design control systems

finite time h control for t s fuzzy descriptor semi markov jump systems via static output feedback abstract this paper is concerned with the finite time static output feedback h controller design problem for a type of nonlinear continuous time descriptor semi markov jump systems s mjss via takagi sugeno t s fuzzy model where the transition rates are time varying and dependent on sojourn time firstly based on the stochastic lyapunov functional sufficient conditions on singular stochastic h finite time boundedness ss h ftb for continuous time t s fuzzy descriptor s mjss are given then in order to design the static output feedback controller easily the closed loop system is represented in an augmented form furthermore based on the lower and upper bounds of the time varying transition rates and by using the matrix inequality decoupling technique a novel linear matrix inequality lmi condition on ss h ftb of closed loop system is presented meanwhile the static output feedback controller is developed in terms of lmis the proposed design method doesn t impose any constraints on system matrices or slack variables which shows less conservative results lastly numerical examples are given to demonstrate the effectiveness of the obtained methods

an analysis of arithmetic averaging in approximate riemann solvers with an application to steady supercritical flows an analysis of various arithmetic averaging procedures for approximate riemann solvers is made with a specific emphasis on efficiency and a jump capturing property the various alternatives discussed are intended for future work as well as the more immediate problem of steady supercritical free surface flows numerical results are shown for two test problems

the relationship between the direct and weak formulations of a linearised riemann solver for systems of conservation laws abstract the direct and weak formulations of a linearised riemann solver attributable to roe and toumi are shown to be equivalent for certain systems of conservation laws and particular parameter vectors it is demonstrated however that in other cases this is not necessarily true

robust h sub spl infin filter design of uncertain descriptor systems with discrete and distributed delays the robust h sub spl infin filtering problem for a class of continuous time uncertain linear descriptor systems with time varying discrete and distributed delays is investigated the time delays are assumed to be constant and known the uncertainties under consideration are norm bounded and possible time varying uncertainties sufficient condition for the existence of an h sub spl infin filter is expressed in terms of strict linear matrix inequalities lmis instead of using decomposition technique a unified form of lmis is proposed to show the exponential stability of the augmented systems the condition for assuring the stability of the fast subsystem is implied from the unified form of lmis which is shown to be less conservative than the characteristic equation based conditions or matrix norm based conditions the suitable filter is derived through a convex optimization problem a numerical example is given to show the effectiveness of the method

reliable finite time h filtering for discrete time delay systems with markovian jump and randomly occurring nonlinearities this paper is concerned with the problem of reliable finite time h filtering for discrete time varying delay systems with markovian jump and randomly occurring nonlinearities rons rons are introduced to model a class of sector like nonlinearities that occur in a probabilistic way according to a two dimensional discrete random variables joint distribution the failures of sensors are quantified by a variable varying in a given interval the time varying delay is unknown with given lower and upper bounds firstly the filtering errr dynamic system is constructed based on an h filter sufficient criteria are provided to guarantee that the resulting filtering error system is stochastic finite time boundedness and stochastic finite time h filtering in both normal and fault cases the gain matrices of the controller and filter are achieved by solving a feasibility problem in terms of linear matrix inequalities with a fixed parameter respectively finally numerical examples are given to demonstrate the effectiveness of the proposed design approach

robust stability and stabilization for singular systems with state delay and parameter uncertainty considers the problems of robust stability and stabilization for uncertain continuous singular systems with state delay the parametric uncertainty is assumed to be norm bounded the purpose of the robust stability problem is to give conditions such that the uncertain singular system is regular impulse free and stable for all admissible uncertainties while the purpose of the robust stabilization is to design a state feedback control law such that the resulting closed loop system is robustly stable these problems are solved via the notions of generalized quadratic stability and generalized quadratic stabilization respectively necessary and sufficient conditions for generalized quadratic stability and generalized quadratic stabilization are derived a strict linear matrix inequality lmi design approach is developed an explicit expression for the desired robust state feedback control law is also given finally a numerical example is provided to demonstrate the application of the proposed method

control of markovian jump discrete time systems with norm bounded uncertainty and unknown delay this paper studies the problem of control for discrete time delay linear systems with markovian jump parameters the system under consideration is subjected to both time varying norm bounded parameter uncertainty and unknown time delay in the state and markovian jump parameters in all system matrices we address the problem of robust state feedback control in which both robust stochastic stability and a prescribed h sub spl infin performance are required to be achieved irrespective of the uncertainty and time delay it is shown that the above problem can be solved if a set of coupled linear matrix inequalities has a solution

stability of nonlinear differential systems with state dependent delayed impulses we consider nonlinear differential systems with state dependent delayed impulses impulses which involve the delayed state of the system for which the delay is state dependent such systems arise naturally from a number of applications and the stability issue is complex due to the state dependence of the delay we establish general and applicable results for uniform stability uniform asymptotic stability and exponential stability of the systems by using the impulsive control theory and some comparison arguments we show how restrictions on the change rates of states and impulses should be imposed to achieve system s stability in comparison with general impulsive delay differential systems with state dependent delay in the nonlinearity or the differential systems with constant delays in our approach the boundedness of the state dependent delay is not required but derives from the stability result obtained examples are given to demonstrate the sharpness and applicability of our general results and the proposed approach

periodic solutions to impulsive differential inclusions with constraints abstract the existence of a periodic solution to an impulsive differential inclusion being invariant with respect to a non convex set of state constraints is established by the use a lefschetz type fixed point theorem for set valued maps

boundary value problems for a class of impulsive functional equations this paper is related to the existence and approximation of solutions for impulsive functional differential equations with periodic boundary conditions we study the existence and approximation of extremal solutions to different types of functional differential equations with impulses at fixed times by the use of the monotone method some of the options included in this formulation are differential equations with maximum and integro differential equations in this paper we also prove that the lipschitzian character of the function which introduces the functional dependence in a differential equation is not a necessary condition for the development of the monotone iterative technique to obtain a solution and to approximate the extremal solutions to the equation in a given functional interval the corresponding results are established for the impulsive case the general formulation includes several types of functional dependence delay equations equations with maxima integro differential equations finally we consider the case of functional dependence which is given by nonincreasing and bounded functions

impulsive control for existence uniqueness and global stability of periodic solutions of recurrent neural networks with discrete and continuously distributed delays in this paper a class of recurrent neural networks with discrete and continuously distributed delays is considered sufficient conditions for the existence uniqueness and global exponential stability of a periodic solution are obtained by using contraction mapping theorem and stability theory on impulsive functional differential equations the proposed method which differs from the existing results in the literature shows that network models may admit a periodic solution which is globally exponentially stable via proper impulsive control strategies even if it is originally unstable or divergent two numerical examples and their computer simulations are offered to show the effectiveness of our new results

shock capturing for supercritical free surface flows in curvilinear channel geometries abstract a shock capturing scheme is developed for the shallow water equations governing steady supercritical flow in two dimensions in channels with a curvilinear coordinate geometry the scheme incorporates a special averaging procedure of the flow variables as well as details of the transformation that maps a nonrectangular physical domain for a general channel transition

on input to state stability of stochastic nonlinear systems with markovian jumping parameters in this article the input to state stability iss properties of stochastic nonlinear systems with markovian jump parameters are considered firstly the notions of stochastic iss e t weighted integral iss in mean and in the pth mean are introduced then by the lyapunov like function method some corresponding criteria are provided lastly a simulation example is provided to illustrate the effectiveness of our results

an efficient numerical scheme for the two dimensional shallow water equations using arithmetic averaging a finite difference scheme based on flux difference splitting is presented for the solution of the two dimensional shallow water equations of ideal fluid flow a linearised problem analogous to that of riemann for gas dynamics is defined and a scheme based on numerical characteristic decomposition is presented for obtaining approximate solutions to the linearised problem and incorporates the technique of operator splitting an average of the flow variables across the interface between cells is required and this average is chosen to be the arithmetic mean for computational efficiency leading to arithmetic averaging this is in contrast to usual square root averages found in this type of riemann solver where the computational expense can be prohibitive the method of upwind differencing is used for the resulting scalar problems together with a flux limiter for obtaining a second order scheme which avoids nonphysical spurious oscillations an extension to the two dimensional equations with source terms is included the scheme is applied to the one dimensional problems of a breaking dam and reflection of a bore and in each case the approximate solution is compared to the exact solution of ideal fluid flow the scheme is also applied to a problem of stationary bore generation in a channel of variable cross section finally the scheme is applied to two other dam break problems this time in two dimensions with one having cylindrical symmetry each approximate solution compares well with those given by other authors

a comparison of the different extensions of a weak formulation of an approximate riemann solver for supercritical flows and their relationship to existing schemes abstract a weak formulation of the roe linearised riemann solver proposed recently is examined in the context of the equations governing steady supercritical flows two possible alternatives present themselves and it is shown that these are equivalent and moreover are equivalent to existing schemes

impulsive stabilization of second order nonlinear delay differential systems modeling of many dynamic systems results in second order delay differential systems in this paper we prove that two kinds of delay systems without impulses can be stabilized by proper impulsive control respectively our results have improved and generated some of the known results found in the literature we also give an example to illustrate the obtained results

stability analysis for switched discrete time linear singular systems abstract the stability of arbitrarily switched discrete time linear singular sdls systems is studied our analysis builds on the recently introduced one step map for sdls systems of index 1 we first provide a sufficient stability condition in terms of lyapunov functions furthermore we generalize the notion of joint spectral radius of a finite set of matrix pairs which allows us to fully characterize exponential stability

technical communique a note on the existence of a solution and stability for lipschitz discrete time descriptor systems this paper addresses the existence and uniqueness of a solution and stability for lipschitz discrete time descriptor systems by means of the fixed point principle a criterion is presented via a matrix inequality and the criterion guarantees the existence and uniqueness of a solution in addition a sufficient condition is also presented to ensure that the solution exists for any compatible initial condition and the system is globally exponentially stable simultaneously it is shown that the criterion presented in this paper is easy to verify and independent of the choices of decomposition matrices for the given system finally the approach is illustrated by a numerical example

output tracking of stochastic high order nonlinear systems with markovian switching this technical note poses and solves the output tracking problem for a class of stochastic high order nonlinear systems with stationary markovian switching by introducing a ii operator and using dynkin formula for markovian switching systems a switching controller is constructed to ensure that the closed loop system has a unique solution and is bounded in probability also the tracking error converges to an arbitrarily small neighborhood of zero the efficiency of the tracking controller is demonstrated by a simulation example

existence of nonimpulsive unique solution and stability for discrete time linear rectangular descriptor markov jump systems this paper investigates the existence of nonimpulsive unique solution and stochastic stability problems for the discrete time linear rectangular descriptor markov jump systems at two cases for every case the sufficient and necessary conditions in terms of strict linear matrix inequalities are eventually proposed to guarantee that the discrete time linear rectangular descriptor markov jump systems are column row regular column row causal stochastically stable and have a unique solution in addition some assumptions are introduced to ensure that there is no impulse in the solution at the instant when the markov process jumps moreover the concrete procedures on how to apply the results obtained in this paper are presented as well finally an example is provided to demonstrate the effectiveness of the results

stability analysis of complex valued impulsive systems with time delay in this paper the global exponential stability of complex valued impulsive systems is addressed some new sufficient conditions are obtained to guarantee the global exponential stability by the lyapunov razumikhin theory which extend and improve most of recent results moreover the obtained razumikhin conditions are very simple and efficient to verify in real problems and helpful to investigate the stability of delayed neural networks and synchronization problems of chaotic systems under impulsive perturbation finally a numerical example is given to show the effectiveness of the obtained results

an efficient characteristic finite difference s ddm scheme for convection diffusion equations abstract in this paper an efficient splitting domain decomposition method scheme for solving time dependent convection diffusion reaction equations is analyzed a three step method along each direction is used to solve the solution over each block divided sub domain at every time interval the new solutions are firstly solved by the quadratic interpolation then the intermediate fluxes on the interfaces of sub domains are computed by local multi point weighted average from the new solutions lastly the solutions and fluxes in the interiors of sub domains are computed by the splitting implicit characteristic difference method by some auxiliary lemmas and the defined intermediate exact solution the stability and error estimate are given in discrete l 2 norm we further prove that our scheme is of second order convergence in space and of first order convergence in time numerical experiments are presented to validate theoretical result

effect of delayed impulses on input to state stability of nonlinear systems abstract this paper studies the input to state stability iss and integral input to state stability iiss of nonlinear systems with delayed impulses by using lyapunov method and the analysis technique proposed by hespanha et al 2005 some sufficient conditions ensuring iss iiss of the addressed systems are obtained those conditions establish the relationship between impulsive frequency and the time delay existing in impulses and reveal the effect of delayed impulses on iss iiss an example is provided to illustrate the efficiency of the obtained results

state feedback stabilization for stochastic high order nonlinear systems with markovian switching abstract this paper aims to investigate the problem of state feedback stabilization for stochastic high order nonlinear systems with markovian switching by using the generalized ito formula and dynkin formula for markovian switching systems a state feedback controller is constructed to ensure that the closed loop system has a unique solution and the solution of the closed loop systems is almost surely asymptotically stable finally the effectiveness of the controller is demonstrated by a simulation example

stochastic and exponential stability of discrete time markov jump linear singular systems abstract in this paper stochastic and almost sure stability of a markov jump linear singular system are analyzed first it is given a set of coupled generalized lyapunov equations to characterize the stochastic stability of the system second it is introduced a top lyapunov exponent to give a sufficient condition for almost sure stability our approach captures the solvability issue arising in this class of systems leading to lyapunov equations whose parameters reflex the solvability in an explicit manner two examples are presented in order to show the effectiveness of the proposed stability analysis

brief paper stability and stabilization of continuous time singular hybrid systems in this paper the problems of stability and state feedback stabilization for a class of continuous time singular hybrid systems are investigated a new sufficient and necessary condition for a continuous time singular hybrid system to be regular impulse free and stochastically stable is proposed in terms of a set of coupled strict linear matrix inequalities lmis moreover a new sufficient and necessary condition is presented for the existence of the state feedback controller in terms of a set of coupled strict matrix inequalities finally a numerical example is given to illustrate the effectiveness of the obtained theoretical results

dynamic output feedback control for singular markovian jump system lmi approach for the dynamic output feedback stabilization of continuous time singular markovian jump systems this paper introduces the necessary and sufficient condition whereas the previous research works suggested the sufficient conditions a special choice of the block entries of lyapunov matrices leads to derive the necessary and sufficient condition in terms of linear matrix inequalities a numerical example shows the validity of the derived results

stability results for impulsive functional differential equations with infinite delays abstract this paper studies the stability problems for a class of impulsive functional differential equations with infinite delays of the form x t f t x t t x t k j k x t k k 1 2 by using the liapunov functions and razumikhin technique some new razumikhin type theorems on stability are obtained

technical communique stabilization of discrete time singular systems a matrix inequalities approach this paper is concerned with the state feedback stabilization problem of discrete time singular systems the singular system under consideration is not assumed to be regular the problem we address is to design state feedback controllers such that the resulting closed loop system is regular causal and stable conditions for the existence of solutions to this problem are obtained expressed in terms of certain matrix inequalities when these conditions are satisfied the explicit formula of desired state feedback controllers is also given without resorting to decomposing the system matrices

exponential stability for impulsive delay differential equations by razumikhin method abstract in this paper we study exponential stability for impulsive delay differential equation of the form x t f t x t t t k x t i k t x t t t k k n by employing the razumikhin technique and lyapunov functions several exponential stability criteria are established some examples are also discussed to illustrate our results

vector lyapunov functions for practical stability of nonlinear impulsive functional differential equations this paper studies the practical stability of the solutions of nonlinear impulsive functional differential equations the obtained results are based on the method of vector lyapunov functions and on differential inequalities for piecewise continuous functions examples are given to illustrate our results

some remarks on stability of stochastic singular systems with state dependent noise this paper discusses the stability for stochastic singular systems with state dependent noise in both continuous time and discrete time cases firstly the condition for the existence and uniqueness of the solution to stochastic singular systems is given based on this condition the stochastic ito singular system is transformed into a deterministic standard singular system by means of h representation method secondly new sufficient conditions for the stability of systems considered are derived in terms of strict linear matrix inequalities finally an example is given to illustrate the effectiveness of the obtained theoretical results

impulsive differential equations this paper deals with the periodic solutions problem for impulsive differential equations by using lyapunov s second method and the contraction mapping principle some conditions ensuring the existence and global attractiveness of unique periodic solutions are derived which are given from impulsive control and impulsive perturbation points of view as an application the existence and global attractiveness of unique periodic solutions for hopfield neural networks are discussed finally two numerical examples are provided to demonstrate the effectiveness of the proposed results

regularity and stability analysis of discrete time markov jump linear singular systems abstract in this paper the regularity and stability analysis of discrete time markov jump linear singular systems mjlss is performed when dealing with singular systems a primary concern is related to the existence and uniqueness of a solution to the system this problem that is called regularity problem has a known solution when the linear singular system is not subject to jumps lss it turns out that when the pair of matrices that describes the dynamics of the lss satisfies a certain condition then it is regular by extending this condition to mjlss a unique solution for this class of systems is derived indeed through the idea of mode to mode regularity which is stronger than the mode by mode notion that can be found in the literature the existence of a unique solution of an mjlss is shown furthermore for systems that are mode to mode regular it is shown how to obtain recursive second moment models whose complexity depends on how anticipative the systems is the derived results on regularity and second moment modeling enable us to study stability of an mjlss by following the literature on markov jump linear systems mjls four different concepts of stability are introduced and their relationship is established the results presented in this paper generalize well known results concerning the stability given in the mjls theory for instance it is shown that the stability of the system is equivalent to the spectral radius of an augmented matrix being less than one as happens in the theory of mjls

p moment stability of stochastic differential equations with impulsive jump and markovian switching this paper introduces some new concepts of p moment stability for stochastic differential equations with impulsive jump and markovian switching some stability criteria of p moment stability for stochastic differential equations with impulsive jump and markovian switching are obtained by using liapunov function method an example is also discussed to illustrate the efficiency of the obtained results

h sub spl infin filtering for singular systems this note considers the h sub spl infin filtering problem for linear continuous singular systems the purpose is the design of a linear filter such that the resulting error system is regular impulse free and stable while the closed loop transfer function from the disturbance to the filtering error output satisfies a prescribed h sub spl infin norm bound constraint without decomposing the original system matrices a necessary and sufficient condition for the solvability of this problem is obtained in terms of a set of linear matrix inequalities lmis when these lmis are feasible an explicit expression of a desired filter is given finally an illustrative example is presented to demonstrate the applicability of the proposed approach

delay independent criteria for exponential admissibility of switched descriptor delayed systems this paper deals with the uniform exponential admissibility problem for switched descriptor systems with time varying delays a criterion for regularity impulsiveness free of each subsystem is presented a solution to switching impulsiveness free for switched descriptor systems is provided a novel type of piecewise lyapunov functionals is introduced this type of lyapunov functionals can efficiently overcome the switching jump of adjacent lyapunov functionals at switching times by applying this type of lyapunov functionals and algebraic manipulations the delay independent conditions for uniform exponential admissibility is established on the minimum dwell time

extensions of razumikhin type stability theorems for nonlinear time delay systems on time scales this paper focuses on the stability analysis of nonlinear time delay systems on time scales which are of generality as they can include not only the traditional continuous and discrete ones but a

sliding mode control of singular stochastic markov jump systems an investigation has been made into the sliding mode control smc problem for singular stochastic markov systems ssmss in this paper by using replacement of matrix variables a new mean square admissibility criterion of ssmss is proposed first based on this admissibility criterion the desired state feedback controller is designed to guarantee the closed loop system to be mean square admissible then the obtained results given in the form of strict linear matrix inequalities are applied to solve smc problem of ssmss in order to illustrate the workability and applicability of the theoretic results developed numerical examples are provided

existence and uniqueness results for impulsive functional differential equations with scalar multiple delay and infinite delay abstract in this paper we discuss local and global existence and uniqueness results for first order impulsive functional differential equations with multiple delay we shall rely on a nonlinear alternative of leray schauder for the global existence and uniqueness we apply a recent nonlinear alternative of leray schauder type in frechet spaces due to m frigon and a granas resultats de type leray schauder pour des contractions sur des espaces de frechet ann sci math quebec 22 2 1998 161 168 the goal of this paper is to extend the problems considered by a ouahab local and global existence and uniqueness results for impulsive differential equations with multiple delay j math anal appl 323 2006 456 472

stabilization of stochastic singular nonlinear hybrid systems abstract this paper deals with the control of the class of singular nonlinear stochastic hybrid systems under some appropriate assumptions results on stochastic stability and stochastic stabilization are developed two state feedback controllers linear and nonlinear that stochastically stabilize the class of systems we are considering are designed lmi sufficient conditions are developed to compute the gains of these controllers

boundedness for impulsive delay differential equations and applications to population growth models abstract in this paper criteria on uniform ultimate boundedness are derived for impulsive delay differential equations using lyapunov functions and razumikhin techniques it should be noted that the boundedness criteria establish global existence of solutions as well as boundedness without assuming a priori that solutions can necessarily be continued to infinity those criteria are then used to obtain permanence results for population growth models some examples are discussed to illustrate the theorems

on stability in terms of two measures for impulsive systems of functional differential equations this paper considers the stability problem for a class of impulsive systems of functional differential equations by using lyapunov functions and the razumikhin technique several stability criteria in terms of two measures are established some examples are worked out to illustrate the theorems

technical communique novel bounded real lemma for discrete time descriptor systems application to h control design this paper concerns the bounded real lemma for discrete time descriptor systems a new formulation of the bounded real lemma for these systems is given it extends the recent results presented in zhang xia and shi 2008 and gives necessary and sufficient conditions in strict lmi linear matrix inequality which is more suitable for the control design than those presented in zhang xia and shi 2008 an application to the h control design is given a numerical example is presented to show the applicability of our approach