Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 1

Finite-time stability of switched systems withdelayed arguments and nonlinear perturbations

Finite-time stability of switched systems withdelayed arguments and nonlinear perturbations

Youliang FU, Naxin CUİ, Chenghui ZHANG, Tongxing Lİ

Sayfa
162–169
DOI
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Abstract

This paper is concerned with the problem of finite-time stability (FTS) of a class ofswitched systems with delayed arguments and nonlinear perturbations which are relatednot only with the current state and the delayed state but also with timet. Novel Lyapunov–Krasovskii functions are introduced, and a new finite-time stability criterion is derived byemploying the average dwell time (ADT) approach and linear matrix inequality technique.An example is given to illustrate the effectiveness of the proposed method.