Switching design for exponential stability of a class of nonlinear hybrid time-delay systems

This paper addresses the exponential stability for a class of nonlinear hybrid time-delay systems. The system to be considered is autonomous and the state delay is time-varying. Using the Lyapunov functional approach combined with the Newton-Leibniz formula, neither restriction on the derivative of...

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Main Authors:	V. N. Phat, T. Botmart, P. Niamsup
Format:	Journal
Published:	2018
Subjects:	Computer Science Engineering Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=57849139259&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49023
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-49023
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spelling	th-cmuir.6653943832-490232018-08-16T02:13:18Z Switching design for exponential stability of a class of nonlinear hybrid time-delay systems V. N. Phat T. Botmart P. Niamsup Computer Science Engineering Mathematics This paper addresses the exponential stability for a class of nonlinear hybrid time-delay systems. The system to be considered is autonomous and the state delay is time-varying. Using the Lyapunov functional approach combined with the Newton-Leibniz formula, neither restriction on the derivative of time-delay function nor bound restriction on nonlinear perturbations is required to design a switching rule for the exponential stability of nonlinear switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of algebraic Riccati equations, which allows computing simultaneously the two bounds that characterize the stability rate of the solution. A simple procedure for constructing the switching rule is also presented. © 2008 Elsevier Ltd. All rights reserved. 2018-08-16T02:08:28Z 2018-08-16T02:08:28Z 2009-02-01 Journal 1751570X 2-s2.0-57849139259 10.1016/j.nahs.2008.10.001 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=57849139259&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49023
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Computer Science Engineering Mathematics
spellingShingle	Computer Science Engineering Mathematics V. N. Phat T. Botmart P. Niamsup Switching design for exponential stability of a class of nonlinear hybrid time-delay systems
description	This paper addresses the exponential stability for a class of nonlinear hybrid time-delay systems. The system to be considered is autonomous and the state delay is time-varying. Using the Lyapunov functional approach combined with the Newton-Leibniz formula, neither restriction on the derivative of time-delay function nor bound restriction on nonlinear perturbations is required to design a switching rule for the exponential stability of nonlinear switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of algebraic Riccati equations, which allows computing simultaneously the two bounds that characterize the stability rate of the solution. A simple procedure for constructing the switching rule is also presented. © 2008 Elsevier Ltd. All rights reserved.
format	Journal
author	V. N. Phat T. Botmart P. Niamsup
author_facet	V. N. Phat T. Botmart P. Niamsup
author_sort	V. N. Phat
title	Switching design for exponential stability of a class of nonlinear hybrid time-delay systems
title_short	Switching design for exponential stability of a class of nonlinear hybrid time-delay systems
title_full	Switching design for exponential stability of a class of nonlinear hybrid time-delay systems
title_fullStr	Switching design for exponential stability of a class of nonlinear hybrid time-delay systems
title_full_unstemmed	Switching design for exponential stability of a class of nonlinear hybrid time-delay systems
title_sort	switching design for exponential stability of a class of nonlinear hybrid time-delay systems
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=57849139259&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49023
_version_	1681423335450214400

Switching design for exponential stability of a class of nonlinear hybrid time-delay systems

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