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This paper deals with robust H∞ synchronization of general discrete-time chaotic neural networks with external disturbance. This general discrete-time model, which is the interconnection of a linear delayed dynamic system and a bounded static nonlinear operator, covers not only several well-known discrete-time delayed neural networks, such as Hopfield neural networks, cellular neural networks (CNNs),...
This paper deals with a problem of exponential delay dependent stability and stabilization of linear systems with time varying delays. Using the Lyapunov parameter dependent functional, new sufficient conditions for exponential stability criterion has been derived in terms of linear matrix inequalities (LMIs) which can be easily solved using efficient convex optimization algorithms. Hence, the allowable...
This paper investigates stability analysis for linear systems with Markovian jumping parameters and state delays. Based on delay subinterval decomposition approach, a new Lyapunov-Krasovskii functional is proposed to develop the delay-dependent stochastic stability conditions for both nominal and uncertain time-delay Markovian systems. The results are formulated in terms of linear matrix inequalities...
The problem of Hankel norm model reduction for discrete-time systems with time-varying state delay is investigated. For a given stable system, this paper focuses on constructing stable reduced-order models under the Hankel norm error criterion. Two different approaches are proposed to solve this problem. One is based on the cone complementarity linearization idea, which casts the model reduction into...
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