Improved exponential stability for time-varying systems with nonlinear delayed perturbations

In this paper, a new sufficient delay dependent exponential stability condition for a class of linear time-varying systems with nonlinear delayed perturbations is derived by using an improved Lyapunov-Krasovskii functional. The proposed exponential stability conditions are formulated in terms of the...

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Main Authors:	Niamsup P., Mukdasai K., Phat V.N.
Format:	Article
Language:	English
Published:	2014
Online Access:	http://www.scopus.com/inward/record.url?eid=2-s2.0-52049096818&partnerID=40&md5=3a0106a641724708decb6826554a03b1 http://cmuir.cmu.ac.th/handle/6653943832/5478
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Institution:	Chiang Mai University
Language:	English

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spelling	th-cmuir.6653943832-54782014-08-30T02:56:34Z Improved exponential stability for time-varying systems with nonlinear delayed perturbations Niamsup P. Mukdasai K. Phat V.N. In this paper, a new sufficient delay dependent exponential stability condition for a class of linear time-varying systems with nonlinear delayed perturbations is derived by using an improved Lyapunov-Krasovskii functional. The proposed exponential stability conditions are formulated in terms of the solution of Lyapunov differential equations. The approach allows for computation of the bounds that characterize the exponential stability rate of convergence of the solution. Compared with existing results, our conditions are shown to be less conservative. Numerical examples are given to illustrate the effectiveness of the obtained conditions. © 2008 Elsevier Inc. All rights reserved. 2014-08-30T02:56:34Z 2014-08-30T02:56:34Z 2008 Article 00963003 10.1016/j.amc.2008.07.022 AMHCB http://www.scopus.com/inward/record.url?eid=2-s2.0-52049096818&partnerID=40&md5=3a0106a641724708decb6826554a03b1 http://cmuir.cmu.ac.th/handle/6653943832/5478 English
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
language	English
description	In this paper, a new sufficient delay dependent exponential stability condition for a class of linear time-varying systems with nonlinear delayed perturbations is derived by using an improved Lyapunov-Krasovskii functional. The proposed exponential stability conditions are formulated in terms of the solution of Lyapunov differential equations. The approach allows for computation of the bounds that characterize the exponential stability rate of convergence of the solution. Compared with existing results, our conditions are shown to be less conservative. Numerical examples are given to illustrate the effectiveness of the obtained conditions. © 2008 Elsevier Inc. All rights reserved.
format	Article
author	Niamsup P. Mukdasai K. Phat V.N.
spellingShingle	Niamsup P. Mukdasai K. Phat V.N. Improved exponential stability for time-varying systems with nonlinear delayed perturbations
author_facet	Niamsup P. Mukdasai K. Phat V.N.
author_sort	Niamsup P.
title	Improved exponential stability for time-varying systems with nonlinear delayed perturbations
title_short	Improved exponential stability for time-varying systems with nonlinear delayed perturbations
title_full	Improved exponential stability for time-varying systems with nonlinear delayed perturbations
title_fullStr	Improved exponential stability for time-varying systems with nonlinear delayed perturbations
title_full_unstemmed	Improved exponential stability for time-varying systems with nonlinear delayed perturbations
title_sort	improved exponential stability for time-varying systems with nonlinear delayed perturbations
publishDate	2014
url	http://www.scopus.com/inward/record.url?eid=2-s2.0-52049096818&partnerID=40&md5=3a0106a641724708decb6826554a03b1 http://cmuir.cmu.ac.th/handle/6653943832/5478
_version_	1681420433289641984

Improved exponential stability for time-varying systems with nonlinear delayed perturbations

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