finite time stability of quantum systems governed by schrodinger s equation in this paper we investigate the finite time stability fts and finite time boundedness ftb of quantum systems which are governed by schrodinger s equation we first study the fts and fts at one target state and propose new results for the mentioned quantum systems in the form of sufficient conditions then we present sufficient conditions for the ftb and ftb at one target state in terms of matrix inequalities one numerical simulation is presented to illustrate the effectiveness of the obtained theoretical result

finite time boundedness and l2 gain analysis for switched delay systems with norm bounded disturbance abstract finite time boundedness and finite time weighted l 2 gain for a class of switched delay systems with time varying exogenous disturbances are studied based on the average dwell time technique sufficient conditions which guarantee the switched linear system with time delay is finite time bounded and has finite time weighted l 2 gain are given these conditions are delay dependent and are given in terms of linear matrix inequalities detail proofs are given by using multiple lyapunov like functions an example is employed to verify the efficiency of the proposed method

proof of a conjecture concerning the hadamard powers of inverse m matrices abstract the main result of this paper is the following if a aij is an inverse m matrix a r a ij r denotes the rth hadamard power of a then a r is again an inverse m matrix for any real number r 1 this settles a conjecture proposed by wang et al b y wang x p zhang f z zhang on the hadamard product of inverse m matrices linear algebra appl 305 2000 23 31 affirmatively naturally it shows that the conjecture of neumann m neumann a conjecture concerning the hadamard product of inverses of m matrices linear algebra appl 285 1998 277 290 is also valid

input output finite time stabilisation of a class of hybrid systems via static output feedback this article extends the concept of input output finite time stability io fts to a class of hybrid systems namely impulsive dynamical linear systems which are systems that exhibit jumps in the state trajectory sufficient conditions are given for the analysis of io fts and for the design of both static output and state feedback controllers guaranteeing io fts of the closed loop system in the general case the presented results require to solve feasibility problems involving either linear matrix inequalities or bilinear matrix inequalities which can be solved numerically in an efficient way by using off the shelf optimisation tools as illustrated by the proposed examples

new lower bounds on eigenvalue of the hadamard product of an m matrix and its inverse abstract some new lower bounds for the minimum eigenvalue of the hadamard product of an m matrix and its inverse are given these bounds improve the results of h b li t z huang s q shen h li lower bounds for the minimum eigenvalue of hadamard product of an m matrix and its inverse linear algebra appl 420 2007 235 247

finite time boundedness for switched systems with sector bounded nonlinearity and constant time delay finite time boundedness and finite time stability of switched systems with sector bounded nonlinearity and constant time delay are investigated sufficient conditions which guarantee finite time stability or finite time boundedness of the switched nonlinear system are presented respectively average dwell time of switching signals is also given moreover finite time weighted l2 gain of the switched nonlinear system is addressed to measure its disturbance tolerance capability in the fixed time interval detail proofs are accomplished by using multiple lyapunov like functions an example is employed to verify the efficiency of the proposed method

continuous finite time stabilization of the translational and rotational double integrators a class of bounded continuous time invariant finite time stabilizing feedback laws is given for the double integrator lyapunov theory is used to prove finite time convergence for the rotational double integrator these controllers are modified to obtain finite time stabilizing feedback that avoid unwinding

technical communique on impulsive algebraic multiplicities of linear time invariant singular systems under feedback impulsive algebraic multiplicities of linear time invariant singular systems under output feedback or decentralized output feedback are characterized in terms of system matrices directly the multiplicities describe the number of impulsive modes that can be eliminated and indicate the number of finite poles that can be assigned by the respective feedback these characterizations also lead to new regularizability conditions for singular systems

decentralized stabilization of singular and time delay large scale control systems with impulsive solutions decentralized stabilization of singular and time delay large scale control systems with impulsive solutions which has not been studied up to now is introduced and studied the control problem considered is the construction of a decentralized controller which ensures that a certain singular impulsive and time delay closed loop large scale system is exponentially stable by means of lumped picard and gauss seidel iteration methods which enable the authors to avoid the difficulties of constructing lyapunov functions explicit algebraic criteria of stabilization for such systems are established an example is given to illustrate the effectiveness of results obtained

on finite time stability of nonautonomous nonlinear systems this paper is concerned with the finite time stability fts of nonautonomous nonlinear systems firstly a new definition of fts for nonautonomous nonlinear systems is introduced then some suffic

finite time stabilization of linear systems via impulsive control this paper introduces a new concept of finite time stability of linear time invariant impulsive systems the sufficient condition of finite time stability of the system via impulsive control at fixed times and variable times is obtained respectively such sufficient conditions of finite time stabilization are given in terms of matrix inequalities a numerical example is presented to illustrate the efficiency of the proposed results

a pole zero matching method for ebg surfaces composed of a dipole fss printed on a grounded dielectric slab a method is presented for the efficient derivation of the dispersion equation associated with electromagnetic bandgap ebg structures composed by lossless frequency selective surfaces fss printed on stratified dielectric media the method valid for the range of frequency where a single propagating floquet mode occurs is based on foster s reactance theorem applied to an equivalent transmission line network this theorem implies that the admittance functions of frequency which represent the fss satisfy the pole zero analytical properties of the driving point lc admittance functions by these basic properties and by the full wave identification of the fss resonances an analytical form of the dispersion equation is obtained this equation is next solved for both surface wave and leaky wave modes by a conventional numerical technique the results are successfully compared with those from a full wave analysis

inverse m matrices ii this is an update of the 1981 survey by the first author in the meantime a considerable amount has been learned about the very special structure of the important class of inverse m matrices developments since the earlier survey are emphasized but we have tried to be somewhat complete and some results have not previously been published some proofs are given where appropriate and references are given for others after some elementary preliminaries results are grouped by certain natural categories

on practical stability with the settling time via vector norms this paper gives a workable method for practical stability study with settling time of nonlinear time varying disturbed systems sufficient conditions are obtained by the use of vector norms which allow estimation of initial final admissible subsets of state space related to chosen settling time and final time a numerical example is given to illustrate results

l and l 2 semi global stabilisation of continuous time periodic linear systems with bounded controls this article is concerned with l and l 2 semi global stabilisation of continuous time periodic linear systems with bounded controls two problems namely l semi global stabilisation with controls having bounded magnitude and l 2 semi global stabilisation with controls having bounded energy are solved based on solutions to a class of periodic lyapunov differential equations pldes resulting from the problem of minimal energy control with guaranteed convergence rate under the assumption that the open loop system is asymptotically null controllable with constrained controls periodic feedback are established to solve the concerned problems the proposed plde based approaches possess the advantage that the resulting controllers are easy to implement since the designers need only to solve a linear differential equation a numerical example is worked out to illustrate the effectiveness of the proposed approach

finite time annular domain stability of impulsive switched systems mode dependent parameter approach this paper investigates the finite time stability of impulsive switched systems by applying mode dependent parameter approach and average impulsive switched interval technique the conditions that

homogeneous lyapunov function for homogeneous continuous vector field the goal of this article is to provide a construction of a homogeneous lyapunov function p associated with a system of differential equations j f x x r n 1 under the hypotheses 1 f c r n vanishes at x 0 and is homogeneous 2 the zero solution of this system is locally asymptotically stable moreover the lyapunov function v x tends to infinity with 1 x i and belongs to c r 0 r n cp with p e as large as wanted as application to the theory of homogeneous systems we present two well known results of robustness in a slightly extended form and with simpler proofs

finite time control of discrete time linear systems in this note we consider the finite time stabilization of discrete time linear systems subject to disturbances generated by an exosystem finite time stability can be used in all those applications where large values of the state should not be attained for instance in the presence of saturations the main result provided in the note is a sufficient condition for finite time stabilization via state feedback this result is then used to find some sufficient conditions for the existence of an output feedback controller guaranteeing finite time stability all the conditions are then reduced to feasibility problems involving linear matrix inequalities lmis some numerical examples are presented to illustrate the proposed methodology

annular finite time stability analysis and synthesis of stochastic linear time varying systems in this paper we investigate some finite time control problems for stochastic linear time varying systems described by an ito type differential equation in particular the annular stochastic fin

stabilisation of time varying linear systems via lyapunov differential equations this article studies stabilisation problem for time varying linear systems via state feedback two types of controllers are designed by utilising solutions to lyapunov differential equations the first type of feedback controllers involves the unique positive definite solution to a parametric lyapunov differential equation which can be solved when either the state transition matrix of the open loop system is exactly known or the future information of the system matrices are accessible in advance different from the first class of controllers which may be difficult to implement in practice the second type of controllers can be easily implemented by solving a state dependent lyapunov differential equation with a given positive definite initial condition in both cases explicit conditions are obtained to guarantee the exponentially asymptotic stability of the associated closed loop systems numerical examples show the effectiveness of the proposed approaches

technical communique finite time control of linear systems subject to parametric uncertainties and disturbances in this paper we consider finite time control problems for linear systems subject to time varying parametric uncertainties and to exogenous constant disturbances the main result provided is a sufficient condition for robust finite time stabilization via state feedback it can be applied to problems with both non zero initial conditions and unknown constant disturbances this condition is then reduced to a feasibility problem involving linear matrix inequalities lmis a detailed example is presented to illustrate the proposed methodology

finite time controllers continuous finite time differential equations are introduced as fast accurate controllers for dynamical systems these have qualities superior to controllers which are currently in use in such appl

brief paper jump modes analysis and observer design for discrete singular systems this paper is concerned with the reconstructability and detectability of the jump modes of discrete singular systems the notion of jump modes can be considered as the discrete counterpart of the impulsive modes of continuous singular systems which has been extensively studied the effect of jump modes on the existence of reduced order normal luenberger observers for discrete singular systems is investigated necessary and sufficient conditions for the existence of normal luenberger observers and the corresponding observer design procedure are obtained

input output finite time stability of linear systems necessary and sufficient conditions in the recent paper input output finite time stabilization of linear systems f amato a sufficient condition for input output finite time stability io fts when the inputs of the system are l2 signals has been provided such condition requires the existence of a feasible solution to an optimization problem involving a certain differential linear matrix inequality dlmi roughly speaking a system is said to be input output finite time stable if given a class of norm bounded input signals over a specified time interval of length t the outputs of the system do not exceed an assigned threshold during such time interval io fts constraints permit to specify quantitative bounds on the controlled variables to be fulfilled during the transient response in this context this paper presents several novel contributions first by using an approach based on the reachability gramian theory we show that the main theorem of f amato is actually also a necessary condition for io fts at the same time we provide an alternative still necessary and sufficient condition for io fts in this case based on the existence of a suitable solution to a differential lyapunov equality dle we show that the last condition is computationally more efficient however the formulation via dlmi allows to solve the problem of the io finite time stabilization via output feedback the effectiveness and computational issues of the two approaches for the analysis and the synthesis respectively are discussed in two examples in particular our methodology is used in the second example to minimize the maximum displacement and velocity of a building subject to an earthquake of given magnitude

linear interpolation problems for matrix classes and a transformational characterization of m matrices abstract the linear interpolation problem lip for a class of matrices c asks for which pairs of vectors x y there exists a matrix a c such that ax y the lip is solved for m matrices p matrices h matrices and h matrices in addition a transformational characterization is given for m matrices that refines the known one for p matrices there is no such characterization for h or h matrices

on hybrid impulsive and switching systems and application to nonlinear control in this note a new class of hybrid impulsive and switching models is introduced and their asymptotic stability properties are investigated using switched lyapunov functions some new general criteria for exponential stability and asymptotic stability with arbitrary and conditioned impulsive switching are established in addition a new hybrid impulsive and switching control strategy for nonlinear systems is developed a typical example the unified chaotic system is given to illustrate the theoretical results

less conservative conditions for asymptotic stability of impulsive control systems this note studies the stability of impulsive control systems a new comparison theorem for asymptotic stability of impulsive differential system is presented based on the new result we derive some less conservative conditions for asymptotic stability of impulsive control systems with impulses at fixed times and the results are used to design impulsive control for a class of nonlinear systems the class of nonlinear systems considered is also enlarged

robust finite time stabilisation of uncertain linear systems this article deals with the problem of finite time stability and stabilisation of uncertain linear systems for linear time varying systems subject to norm bounded uncertainties some conditions for finite time stability are provided these conditions are expressed in terms of differential linear matrix inequalities then the problem of controller design is tackled both for the state feedback and for the output feedback case in both cases the controller can be found solving a suitable set of lmis a typical engineering case study is included to illustrate the applicability of the devised conditions

finite time stabilization for a class of switched time delay systems under asynchronous switching switched control systems can be used to describe many practical processes with switching phenomena such as power electronics mechanical systems etc in this paper the problem of finite time stabilization under asynchronous switching is dealt with for a class of switched time delay systems with nonlinear disturbances firstly the nonlinear uncertainties are transformed into the linear time varying forms via the differential mean value theorem under some assumptions secondly by applying the average dwell time method and convexity principle a finite time stability condition for the unforced switched time delay system is established finally an asynchronous switching state feedback controller is designed which renders the considered system finite time stable a numerical example is provided to show the effectiveness of the developed results

on the hadamard product of inverse m matrices abstract we investigate the hadamard product of inverse m matrices and present two classes of inverse m matrices that are closed under the hadamard multiplication in the end we give some inequalities on the fan product of m matrices and schur complements

finite time stability of linear time varying singular systems with impulsive effects in this paper we introduce a new concept of finite time stability of linear time varying singular systems with impulses at fixed times and present new results for the above mentioned class of system in the form of sufficient conditions a sufficient condition is given in terms of matrix inequalities which gives the opportunity of fitting the finite time control problem in the general framework via impulsive control a numerical example is presented to illustrate the efficiency of the proposed result

global finite time stabilization by output feedback for planar systems without observable linearization this note considers the problem of global finite time stabilization by output feedback for a class of planar systems without controllable observable linearization a sufficient condition for the solvability of the problem is established by developing a nonsmooth observer and modifying the adding a power integrator technique we show that an output feedback controller can be explicitly constructed to globally stabilize the systems in finite time as a direct application of the main result global output feedback finite time stabilization is achieved for the double linear integrator systems perturbed by some nonlinear functions which are not necessarily homogeneous

p moment stability of stochastic differential equations with jumps in the paper p moment stability of stochastic differential equations with jumps is considered first some preliminary notes are given then several theorems on p moment stability of these equations are established using liapunov function at last an example is present to show application of the obtained results

continuous stabilization controllers for singular bilinear systems the state feedback case global asymptotic stabilization for a class of singular bilinear systems is first studied in this paper new approaches are developed by means of the lasalle invariant principle for nonlinear systems a new set of sufficient condition is first derived via the continuous static state feedback the feedback not only guarantees the existence of solution but also the global asymptotical stabilization for the closed loop system

technical communique impulse observability and impulse controllability of linear time varying singular systems impulse controllability and impulse observability of linear time varying singular systems in a standard canonical form are examined we focus on the fast subsystems with constant rank n matrices sufficient and necessary conditions are derived and presented directly in terms of system parameters conditions obtained for these two properties are algebraically dual to each other

inverse m matrices abstract this is an attempt at a comprehensive expository study of those nonnegative matrices which happen to be inverses of m matrices and is aimed at an audience conversant with basic ideas of matrix theory a theme is the parallels anddifferences between the class of m matrices and the class of inverse m matrices among the primary tools used are diagonal multiplications the neumann expansion and the form of the inverse of a partitioned matrix some of the results seem not to have appeared before and several unsolved problems are mentioned

finite time h control for a class of discrete time switched singular time delay systems subject to actuator saturation this paper concerns with the finite time h control problem for a class of discrete time switched singular time delay with actuator saturation not only linear matrix inequality conditions for the systems but also average dwell time of switching signal is given to guarantee regular causal and finite time boundedness for the discrete time switched singular time delay system moreover sufficient conditions are presented to ensure the h disturbance attenuation level and the design method of h controller is developed by solving linear matrix inequalities lmi optimization problem without any decompositions of system matrices and equivalent transformation furthermore the function in the proof procedure belongs to multiple lyapunov like functions whose advantage lies in their flexibility finally numerical examples are employed to verify the effectiveness of the proposed methods and to illustrate the significant improvement on the conservativeness of some reported results in the literature

brief paper finite time control of discrete time linear systems analysis and design conditions in this paper we deal with some finite time control problems for discrete time time varying linear systems first we provide necessary and sufficient conditions for finite time stability these conditions require either the computation of the state transition matrix of the system or the solution of a certain difference lyapunov inequality then we address the design problem the proposed conditions allow us to find output feedback controllers which stabilize the closed loop system in the finite time sense all these conditions can be expressed in terms of lmis and therefore are numerically tractable as shown in the example included in the paper

finite time stabilization of switched nonlinear systems with partial unstable modes this paper investigates the finite time stabilization problem of switched nonlinear systems sns in the presence of impulse effects where both stable subsystems and unstable subsystems coexist a new notion named mode dependent average switching frequency mdasf is firstly proposed by extending the previous average switching frequency method asf designing mode dependent switching law reveals the tradeoff among stable and unstable modes based on the estimation on transition matrix and gronwall bellman inequality mode dependent feedback controllers are constructed to achieve finite time stability of the closed loop systems finally a numerical example is given to verify the efficiency of the proposed method and the validity of our results

approximate controllability of nonlinear stochastic impulsive systems with control acting on the nonlinear terms this paper is concerned with the approximate controllability of the stochastic impulsive system with control acting on the nonlinear terms in the case that the nonlinear terms are dependent on the control the control cannot be expressed explicitly and analysed in this situation we generate the control sequence by the approximate equations and give the properties of the control sequence and the driven solution sets some discussions on the assumptions are given to impose on the system the hausdorff measure is adopted to relax the requirement of the compactness condition it is also shown that under some sufficient conditions the stochastic impulsive system is approximately controllable without the requirement of the controllability of the associated linear system the results of this paper can be degraded into special cases and coincide with some existing ones

impulsively synchronizing chaotic systems with delay and applications to secure communication in this paper the presence of transmission delay and sampling delay in chaos based secure communication systems by employing impulsive synchronization is studied a time delayed impulsive differential system with delayed impulses modeling the synchronization error between the driving and response schemes employed in such communication systems is presented the equi attractivity property of the error dynamics is investigated and the sufficient conditions leading to this property are obtained a set of upper bounds on the delay terms involved in the system are also obtained and a numerical example is given a communication security scheme employing hyperchaotic systems possessing continuous driving impulsive driving and delay is proposed and simulation results are given to demonstrate the performance of the scheme

some connections between the drazin inverse p matrices and the closure of inverse m matrices abstract using results of a previous paper on the closure of inverse m matrices we find the drazin inverse of a matrix belonging to this closure in addition the structure of nonzero entries of the powers a 2 a 3 of such a matrix a is shown to be invariant and a result on p matrices is applied to matrices of this closure

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

finite time stabilization of nonlinear systems with parametric and dynamic uncertainties in this note non smooth finite time stabilization of nonlinear systems with parametric and dynamic uncertainties is investigated to solve this problem the input to state stability property is used to characterize unmeasured dynamic uncertainties a constructive partial state control design is proposed on the basis of involved combined use of lyapunov backstepping and input to state stability techniques under small gain type local conditions a solution for the finite time regulation of a class of uncertain nonlinear systems is obtained

technical communique input output finite time stabilization of linear systems bounded input bounded output bibo stability is usually studied when only the input output behavior of a dynamical system is of concern the present paper investigates the analogous concept in the framework of finite time stability fts namely the input output fts io fts fts has been already investigated in several papers in terms of state boundedness whereas in this work we deal with the characterization of the input output behavior sufficient conditions are given concerning the class of l 2 and l input signals for the analysis of io fts and for the design of a static state feedback controller guaranteeing io fts of the closed loop system the effectiveness of the proposed results is eventually illustrated by means of some numerical examples