Exponential stability for a class of switched nonlinear systems with mixed time-varying delays via an average dwell-time method
type: Item
instance of: scholarly article
title: Exponential stability for a class of switched nonlinear systems with mixed time-varying delays via an average dwell-time method
zbMATH Open document ID: 1250.93095
DOI: 10.5402/2012/528259
author: Narongsak Yotha
author: T. Botmart
author: T. Mouktonglang
published in: ISRN Mathematical Analysis
publication date: 2012-11-07T00:00:00Z
review text: Summary: The problem of exponential stability for a class of switched nonlinear systems with discrete and distributed time-varying delays is studied. The constraint on the derivative of the time-varying delay is not required which allows the time delay to be a fast time-varying function. We study the stability properties of switched nonlinear systems consisting of both stable and unstable subsystems. Average dwell-time approached and improved piecewise Lyapunov functional combined with Leibniz-Newton are formulated. New delay-dependent sufficient conditions for the exponential stabilization of the switched systems are first established in terms of LMIs. A numerical example is also given to illustrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 6102607
zbMATH Keywords: exponential stability
zbMATH Keywords: switched nonlinear systems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/528259
OpenAlex ID: W2108214854
Wikidata QID: Q58691145
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description: scientific article; zbMATH DE number 6102607