robust finite time h control of singular stochastic systems via static output feedback abstract this paper addresses the problem of robust finite time stabilization of singular stochastic systems via static output feedback firstly sufficient conditions of singular stochastic finite time boundedness on static output feedback are obtained for the family of singular stochastic systems with parametric uncertainties and time varying norm bounded disturbance then the results are extended to singular stochastic h finite time boundedness for the class of singular stochastic systems designed algorithm for static output feedback controller is provided to guarantee that the underlying closed loop singular stochastic system is singular stochastic h finite time boundedness in terms of strict linear matrix equalities with a fixed parameter finally an illustrative example is presented to show the validity of the developed methodology

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

two equivalent sets application to singular systems abstract in this paper we consider the problem of state feedback control design for continuous singular systems by applying equivalent sets technique a new formulation of dissipativity condition is proposed based on this condition the desired state feedback controller is designed such that the closed loop system is admissible and dissipative for singular markovian systems necessary and sufficient conditions are proposed for the system to be admissible and for the state feedback control design for time delay singular markovian systems a new bounded real lemma is proposed and the corresponding h control problem is studied numerical examples are given to illustrate the effectiveness of the theoretic results developed

on necessary and sufficient conditions for h _ infty output feedback control of markov jump linear systems this note addresses the output feedback hinfin control problem for continuous time markov jump linear systems it is shown that the feasibility of a certain set of linear matrix inequalities is both sufficient and necessary for the existence of a solution under standard assumptions we also give a riccati type sufficient and necessary condition for an hinfin suboptimal controller to exist

robust h sup spl infin filtering for uncertain markovian jump systems with mode dependent time delays this paper considers the problem of robust h sup spl infin filtering for uncertain markovian jump linear systems with time delays which are time varying and depend on the system mode the parameter uncertainties are time varying norm bounded the aim of this problem is to design a markovian jump linear filter that ensures robust exponential mean square stability of the filtering error system and a prescribed l sub 2 induced gain from the noise signals to the estimation error for all admissible uncertainties a sufficient condition for the solvability of this problem is obtained the desired filter can be constructed by solving a set of linear matrix inequalities an illustrative numerical example is provided to demonstrate the effectiveness of the proposed approach

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

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

optimal h filtering for singular markovian jump systems abstract this paper considers h filtering for continuous time singular markovian jump systems smjss while the existing researches in the literature suggested only sufficient conditions in terms of strict or non strict linear matrix inequalities lmis for sub optimal h filtering this paper successfully derives a necessary and sufficient condition in terms of strict lmis for optimal h filtering first the necessary and sufficient condition that guarantees the stochastic admissibility of the filtering error system is obtained in terms of matrix inequalities to reformulate it into strict lmis the congruence transformation by specially designed matrices is used two numerical examples show the validity of proposed h filtering

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 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

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

robust stability of uncertain discrete time singular fuzzy systems this paper considers the problem of robust stability analysis of uncertain discrete time singular fuzzy systems described by a class of extended takagi sugeno fuzzy dynamic models with time varying norm bounded parameter uncertainties a sufficient condition ensuring a discrete singular fuzzy system to be regular causal and stable is proposed in terms of a set of linear matrix inequalities based on this a robust stability condition is obtained both of these conditions can be checked by using recently developed algorithms in solving lmis examples are provided to demonstrate the reduced conservatism and effectiveness of the proposed conditions

complete controllability and contractibility in multimodal systems abstract the concept of a strictly positive definite set of hermitian matrices is introduced it is shown that a strictly positive definite set is always a positive definite set and conditions are found under which a positive definite set is strictly positive definite we also show that a set of hermitian matrices is strictly positive definite if and only if some nonnegative linear combination of these matrices is a positive definite matrix for state dimension two we use this concept to find necessary and sufficient conditions for a two mode completely controllable irreducible multimodal system to be contractible relative to an elliptic norm for general state dimensions we give necessary and sufficient conditions for a special type two mode completely controllable irreducible system to be contractible relative to a weakly monotone norm applying the above results we show that for state dimension two there exists a completely controllable two mode system which is not contractible relative to either an elliptic or a weakly monotone norm we leave open the question whether or not complete controllability implies contractibility relative to some norm for multimodal systems of two or more modes

stochastic admissibility for a class of singular markovian jump systems with mode dependent time delays abstract this paper deals with the problem of the stochastic admissibility for a class of singular markovian jump systems with mode dependent time delays the singular matrices e r t in the considered systems are mode dependent based on the lyapunov functional method and the free weighting matrix method sufficient conditions are derived in terms of strict linear matrix inequalities lmis to guarantee the considered systems to be stochastically admissible numerical examples are provided to show the effectiveness of the proposed approaches

tilting modules and representation dimensions in this paper we compare the representation dimensions of two algebras linked by certain tilting modules our main results can be stated as follows suppose t is a tilting module over a and b enda t then 1 if t is separating and splitting then rep dim a rep dim b 2 if t p 1s is an apr tilting module and the injective dimension of s is at most 2 then rep dim b rep dim a 1

necessary and sufficient conditions for analysis and synthesis of markov jump linear systems with incomplete transition descriptions this technical note is concerned with exploring a new approach for the analysis and synthesis for markov jump linear systems with incomplete transition descriptions in the study not all the elements of the transition rate matrices trms in continuous time domain or transition probability matrices tpms in discrete time domain are assumed to be known by fully considering the properties of the trms and tpms and the convexity of the uncertain domains necessary and sufficient criteria of stability and stabilization are obtained in both continuous and discrete time numerical examples are used to illustrate the results

l2 l filter design for discrete time singular markovian jump systems with time varying delays the problem of l 2 l filter design for discrete time singular systems with markovian jump and time varying delays is investigated in this paper by using the delay partitioning technique a delay dependent condition is established to guarantee the filtering error systems to be stochastically admissible and achieve a prescribed l 2 l performance index based on the derived condition the full order and reduced order filters with mode independent characterization are designed in a unified framework the corresponding filter parameters can be obtained by solving a set of linear matrix inequalities the reported results not only depend upon the delay but also depend upon the partitioning which aims at reducing the conservatism two numerical examples are provided to illustrate the effectiveness of the proposed methods

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

stochastic stabilization of singular systems with markovian switchings this paper studies the stochastic stabilization problem for a class of singular markovian jump system the aim is to determine whether or not there is a stochastic feedback controller stabilizing a given singular markovian jump system smjs a new kind of stochastic controller only in the diffusion part is proposed such that the closed loop system has a unique solution and is almost surely exponentially admissible new sufficient condition for the existence of such a controller is given as linear matrix inequalities lmis based on this more extensions to transition probability matrix tpm with elements partially unknown and system states partially observable are developed a numerical example is used to demonstrate the effectiveness of the proposed methods

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

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

stability of singular stochastic systems with markovian switching in recent years singular hybrid systems have received considerable attention however few results are concerned with stability of singular hybrid stochastic systems based on a stability result for singular hybrid systems this note studies mean square stability of singular hybrid stochastic systems it is found that the diffusions and the markov chain may play important roles in system analysis in mean square sense as a special case a criterion for mean square stability of hybrid stochastic systems is developed by the frequency domain approach

stability analysis of switched linear singular systems this paper addresses the stability analysis problem for switched linear continuous time singular systems first based on the equivalent dynamics decomposition form a refined description for state jumps of the switched singular system is presented which indicates that overall state jumps are resulted by two sequential state jumps second sufficient conditions for exponential stability of the switched singular system with stable subsystems are presented it is shown that the stability property of the system is completely determined by the switched reduced order dynamic subsystem and the switching law induced state jumps then a sufficient stability condition for the switched singular system with both stable and unstable subsystems is obtained finally numerical examples are presented to illustrate the effectiveness of the proposed approach

on designing of sliding mode control for stochastic jump systems in this note we consider the problems of stochastic stability and sliding mode control for a class of linear continuous time systems with stochastic jumps in which the jumping parameters are modeled as a continuous time discrete state homogeneous markov process with right continuous trajectories taking values in a finite set by using linear matrix inequalities lmis approach sufficient conditions are proposed to guarantee the stochastic stability of the underlying system then a reaching motion controller is designed such that the resulting closed loop system can be driven onto the desired sliding surface in a limited time it has been shown that the sliding mode control problem for the markovian jump systems is solvable if a set of coupled lmis have solutions a numerical example is given to show the potential of the proposed techniques

reduced order h filtering for singular systems abstract this paper solves the problem of reduced order h filtering for singular systems the purpose is to design linear filters with a specified order lower than the given system such that the filtering error dynamic system is regular impulse free or causal stable and satisfies a prescribed h performance level one major contribution of the present work is that necessary and sufficient conditions for the solvability of this problem are obtained for both continuous and discrete singular systems these conditions are characterized in terms of linear matrix inequalities lmis and a coupling non convex rank constraint moreover an explicit parametrization of all desired reduced order filters is presented when these inequalities are feasible in particular when a static or zeroth order h filter is desired it is shown that the h filtering problem reduces to a convex lmi problem all these results are expressed in terms of the original system matrices without decomposition which makes the design procedure simple and directly last but not least the results have generalized previous works on h filtering for state space systems an illustrative example is given to demonstrate the effectiveness of the proposed approach

stabilization of singular markovian jump systems with generally uncertain transition rates this note is devoted to investigating the stability and stabilization problems for continuous time singular markovian jump systems smjss with generally uncertain transition rates gutrs in this gutr singular model each transition rate can be completely unknown or only its estimate value is known in terms of a set of coupled linear matrix inequalities lmis a sufficient condition is established to ensure the systems to be regular impulse free and stochastically stable moreover the corresponding sufficient condition on the existence of a mode dependent state feedback controller is derived to guarantee the closed loop systems stochastically admissible by applying the lmi technique finally a numerical example is presented to illustrate the effectiveness and efficiency of the proposed method

the representation dimension of k x y x2 yn the representation dimension of an artin algebra was defined by m auslander in 1970 the precise value is not known in general and is very hard to compute even for small examples for group algebras it is known in the case of cyclic sylow subgroups for some group algebras in characteristic 2 of rank at least 3 the precise value of the representation dimension follows from recent work of r rouquier there is a gap for group algebras of rank 2 in this paper we show that for all n 0 and any field k the commutative algebras k x y x2 y2 n have representation dimension 3 for the proof we give an explicit inductive construction of a suitable generator cogenerator as a consequence we obtain that the group algebras in characteristic 2 of the groups c2 c2m have representation dimension 3 note that for m 3 these group algebras have wild representation type

h filtering for singular markovian jump systems with partly unknown transition rates abstract this paper suggests h filtering for singular markovian jump systems smjss with partly unknown transition rates while the existing researches in the literature have derived only the sufficient conditions this paper successfully demonstrates the necessary and sufficient condition for the existence of h filtering for smjss with partly unknown transition rates first a new bounded real lemma for smjs is derived in terms next the matrix inequalities which come from the bounded real lemma for the filtering error system with partly unknown transition rates are reformulated into the strict lmis two numerical examples are presented to show the effectiveness of the proposed result

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

invariant properties of representations under excellent extensions abstract in this paper we introduce the notion of weak excellent extensions of rings as a generalization of that of excellent extensions of rings let be a weak excellent extension of an artinian algebra we prove that if is of finite representation type resp cm finite cm free then so is furthermore if is an excellent extension of then the converse also holds true we also study when the representation dimension of an artinian algebra is invariant under excellent extensions

robust h sliding mode control for nonlinear stochastic t s fuzzy singular markovian jump systems with time varying delays abstract in this paper the robust h stabilization problem for stochastic t s fuzzy singular markovian jump systems with time delays is investigated by using integral sliding mode control a novel fuzzy integral type sliding surface function is designed by fully taking the singular derivative matrix into account by the utilization of linear matrix inequality technique a delay dependent criterion is derived which guarantees the sliding mode dynamics to be stochastically admissible with a prescribed h performance moreover a suitable sliding mode law is synthesized to ensure the stochastic admissibility of the resulting closed loop system and the proposed sliding mode control law can steer the trajectories of the controlled system to the specified sliding surface in finite time finally three examples are provided to illustrate the effectiveness of the proposed method

mode independent control of singular markovian jump systems in this paper the mode independent control problem of singular markovian jump systems is firstly studied by exploiting a stochastic optimization viewpoint a new kind of mode independent h controller satisfying a minimum variance approximation is constructed whose gain is composed of some mode dependent control gains the available probability of system mode is described by the bernoulli variable and taken into account it shows that such a probability plays an important role in system analysis and associates mode independent controller with mode dependent controllers when the probability is unknown a kind of adaptive controller is proposed such that the resulting closed loop system is robust stochastically admissible with an h performance all the proposed conditions are given in terms of linear matrix inequalities two numerical examples are used to demonstrate the effectiveness of the proposed methods

stability analysis and stabilization for nonlinear continuous time descriptor semi markov jump systems this paper investigates the stochastic stability and the state feedback control design for a class of nonlinear continuous time descriptor semi markov jump systems whose transition rates are time varying which are more general than the descriptor markov jump systems first by deriving the infinitesimal generator for stochastic lyapunov functional of descriptor semi markov jump systems a stochastic stability condition is established which guarantees this kind of systems are regular impulse free have a unique solution and are stochastically stable in order to design the state feedback controller a linear matrix inequality lmi stability condition is developed based on the lower and upper bounds of the time varying transition probability and singular value decomposition approach furthermore the state feedback controller design is developed in terms of lmi approach last numerical examples are given to demonstrate the effectiveness of the obtained methods

the structure of the controllable set for multimodal systems this paper deals with the structure of the controllable set of a multimodal system we define a maximal component of the controllable set and we investigate the controllable set as the union of its maximal components we show that for each positive integer k state dimension n 3 and control dimension m n 1 there is a multimodal system whose controllable set s l is the union of exactly k maximal subspaces of rn and this system has k as bound on the number of iterations necessary to reach any state in s l from zero we also show the above holds with k we show that for each state dimension n and each control dimension m there is a completely controllable multimodal system having bound 2n 2m

stability analysis for a class of neutral type singular systems with time varying delay abstract this paper is concerned with the stability problem for a class of neutral type singular systems with time varying delay the considered systems contain delays both in their state and in their derivatives of state based on the singular system approach and the lyapunov krasovskii functional approach some sufficient conditions which guarantee the considered systems to be regular impulse free and stable are derived finally some numerical examples are provided to show the effectiveness of the presented methods

admissibility and stabilization of stochastic singular markovian jump systems with time delays abstract this paper deals with the admissibility analysis and stabilization of stochastic singular markovian jump systems ssmjss with time delays more general conditions for the existence and uniqueness of the impulse free solution to delayed ssmjss are presented consequently by constructing stochastic lyapunov krasovskii functional and applying generalized ito formula new sufficient conditions for the stability of ssmjss and delayed ssmjss are obtained in terms of strict linear matrix inequalities state feedback controller is designed to ensure stabilization of the delayed ssmjss three illustrative examples including an r l c circuit network and an oil catalytic cracking process are employed to verify the effectiveness and usefulness of the obtained results

robust admissibility of uncertain switched singular systems this article investigates the robust admissibility of uncertain discrete time switched singular systems first the admissibility is introduced by using the switched lyapunov function for singular systems sufficient conditions for robust admissibility of uncertain switched singular systems are presented in strict linear matrix inequalities formulation robust admissibility condition designs for both state feedback and static output control feedback are then derived numerical examples are provided to illustrate our approach

new developments in state estimation for nonlinear systems based on an interpolation formula accurate state estimators for nonlinear systems can be derived the estimators do not require derivative information which makes them simple to implement

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

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

disturbance impulse controllability in descriptor system the descriptor system ex ax gu hv with external disturbance v is considered to characterize the possibility to cancel the impulses produced by external disturbance v through using control u the concept of disturbance impulse controllability is introduced

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

technical communique α dissipativity analysis of singular time delay systems in this paper the problem of delay dependent a dissipativity analysis is investigated for continuous time singular systems with time delay using the delay partitioning technique sufficient conditions are established in terms of linear matrix inequalities lmis which guarantees a singular system to be admissible and strictly q s r email protected in addition to delay dependence the obtained results are also dependent on the parameter a moreover the results of h performance analysis and passivity analysis are unified from the dissipative analysis results the results developed in this paper are less conservative than existing ones in the literature which are illustrated by several examples

exponential stability and interval stability of a class of stochastic hybrid systems driven by both brownian motion and poisson jumps abstract a class of stochastic singular hybrid systems driven by both brownian motion and poisson jumps are studied this paper is devoted to discussing the exponential stability and interval stability of such stochastic singular hybrid systems the concept of interval admissibility is proposed sufficient conditions are given for exponential mean square admissibility and interval admissibility by using ito s formula h representation and spectrum technique finally two simulation cases are presented to demonstrate the theoretical results

exponential mean square stability of time delay singular systems with markovian switching and nonlinear perturbations abstract this paper considers exponential stability in mean square of singular markovian jump systems the systems under consideration involve nonlinear perturbation and time varying delays by using the lyapunov krasovskii functional delay dependent stability conditions in terms of linear matrix inequality lmi are addressed which guarantee exponential mean square stability and a prescribed h performance index for the considered systems two numerical examples are given to illustrate the effectiveness of the proposed main 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

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

robust control of uncertain discrete time markovian jump systems with actuator saturation in this paper the robust stochastic stabilization problem for the class of discrete time uncertain markovian jump linear systems mjls with actuator saturation is considered the definition of domain of attraction in mean square sense doa mss is introduced to analyze the stochastic stability of the closed loop system by using a class of stochastic lyapunov function which is dependent on the jump mode and saturation function design procedures for both the mode dependent and mode independent state feedback controllers are developed based on the linear matrix inequality lmi approach finally a numerical example is provided to show the usefulness of the proposed techniques

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

stabilization of singular markovian jump systems with time varying switchings this paper studies the stabilization problem for a class of singular markovian jump systems smjss with time varying transition rates by using the quantized method firstly by proposing a quantization principle the time varying transition rate matrix trm is quantized into a series of finite trms with norm bounded uncertainties then the difficulties of the time varying trm confronted in system analysis and synthesis can be overcome new criteria for stochastic admissibility analysis as well as controller synthesis are established in terms of linear matrix inequalities lmis finally the validity of the theoretical results is shown by numerical examples

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

stabilisation of mode dependent singular markovian jump systems with generally uncertain transition rates this paper is devoted to investigating the stability and stabilisation problems for continuous time mode dependent singular markovian jump systems smjss with generally uncertain transition rates gutrs first we establish a sufficient condition in terms of a set of coupled linear matrix inequalities lmis to ensure the systems to be regular impulse free and stochastically stable then we design a mode dependent state feedback controller to guarantee the closed loop systems stochastically admissible by applying the lmi technique finally a numerical example is presented to illustrate the effectiveness and efficiency of the proposed method