Dynamic Systems and Applications 24 (2015) 51-66 RAZUMIKHIN-TYPE STABILITY THEOREMS FOR IMPULSIVE DISCRETE SYSTEMS WITH TIME DELAY
نویسندگان
چکیده
ABSTRACT. This paper studies impulsive discrete systems with time delay. Several criteria on uniform stability and uniform asymptotic stability are established by utilizing the Razumikhin technique. Both linear and nonlinear impulsive discrete systems with time delay are investigated. These stability criteria show that impulses can be used to stabilize a unstable system. Some numerical examples are presented to illustrate the stability criteria.
منابع مشابه
Stability analysis of nonlinear hybrid delayed systems described by impulsive fuzzy differential equations
In this paper we introduce some stability criteria of nonlinear hybrid systems with time delay described by impulsive hybrid fuzzy system of differential equations. Firstly, a comparison principle for fuzzy differential system based on a notion of upper quasi-monotone nondecreasing is presented. Here, for stability analysis of fuzzy dynamical systems, vector Lyapunov-like functions are defined....
متن کاملBoundedness of Impulsive Functional Differential Equations via Lyapunov Functional
Differential equations with impulsive effect provide mathematical models for many phenomena and processes in the field of natural sciences and technology. Recently a well developed stability theory of functional differential systems has come into existence [15-21]. Qualitative properties of impulsive differential equations have been intensively researched for years. In [3-11], by using lyapunov...
متن کاملPractical Stability and Controllability for a Class of Nonlinear Discrete Systems with Time Delay
In this paper we first study the problem of practical asymptotic stability for a class of discrete-time time-delay systems via Razumikhin-type Theorems. Further the estimations of solution boundary and arrival time of the solution into a region are also investigated based on the practical stability results. Finally, the result on practical asymptotic stability is used to analyze the practical c...
متن کاملRazumikhin-Type Theorems on p-th Moment Stability for Stochastic Switching Nonlinear Systems with Delay
This paper mainly tends to utilize Razumikhin-type theorems to investigate p-th moment stability for a class of stochastic switching nonlinear systems with delay. Based on the Lyapunov-Razumikhin methods, some sufficient conditions are derived to check the stability of stochastic switching nonlinear systems with delay. One numerical example is provided to demonstrate the effectiveness of the re...
متن کاملStability analysis of impulsive fuzzy differential equations with finite delayed state
In this paper we introduce some stability criteria for impulsive fuzzy system of differential equations with finite delay in states. Firstly, a new comparison principle for fuzzy differential system compared to crisp ordinary differential equation, based on a notion of upper quasi-monotone nondecreasing, in N dimentional state space is presented. Furthermore, in order to analyze the stability o...
متن کامل