Finite-Time Stability of a Class of Uncertain Switched Nonlinear Systems with Time-Varying Delay

Teerapong La-inchua, Narongsak Yotha

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Keywords:

switched nonlinear systems, finite-time stability, time-varying delay, Lyapunov-Krasovskii functional, Gronwall-Bellman inequality, linear matrix inequality

Abstract

In this paper, we investigate finite-time stability (FTS) of a class of uncertain switched nonlinear systems with time-varying delay. By using the average dwell time method and Gronwall-Bellman inequality, novel FTS criteria are derived. The FTS criteria of uncertain switched nonlinear criteria are delays-dependent and given in terms of linear matrix inequalities (LMIs) which can be solved by various available algorithms. Numerical example is given to illustrate effectiveness of our proposed methods.

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Published

2022-06-30

How to Cite

Team, S. (2022). Finite-Time Stability of a Class of Uncertain Switched Nonlinear Systems with Time-Varying Delay: Teerapong La-inchua, Narongsak Yotha. Thai Journal of Mathematics, 20(2), 747–757. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1359

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