Finite-time stability of switched systems with delayed arguments and nonlinear perturbations

Abstract

This paper is concerned with the problem of finite-time stability (FTS)  of a class of switched systems with delayed arguments and nonlinear perturbations which are related not only with the current state and the delayed state but also with time $t$. Novel Lyapunov--Krasovskii functions are introduced, and a new finite-time stability criterion is derived  by employing the average dwell time (ADT) approach and linear matrix inequality technique.  An example is given to illustrate the effectiveness of the proposed method.

Keywords

• Finite-time stability,Lyapunov–Krasovskii function,nonlinear perturbation,average dwell time

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