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This article discusses the Lyapunov-Krasovskii functional method for the stability problem of coupled differential-functional equations with distributed delays and one discrete delay. However, systems with distributed delays and multiple commensurate discrete delays can be easily transformed to the standard form treated in this article. This standard form represents a very general class of time-delay...
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...
In this paper we consider the problem of delay-dependent exponential stability of linear continuous-time systems with time-varying delays in the presence of impulsive perturbations. We combine the Lyapunov function and Razumikhin-type techniques together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for exponential stability of linear systems...
This paper deals with the problem of reliable control against controller failure for a class of uncertain discrete time systems with both state and input delay. The considered system is modeled as uncertain discrete switched system with stable and unstable subsystem. Based on average dwell time method, the sufficient conditions of exponential stability for system are given in terms of linear matrix...
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