An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales

We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, -uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on time scales. We construct appropriate Lyapunov...

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Main Authors:	Kanit Mukdasai, Piyapong Niamsup
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80052655515&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50117
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-501172018-09-04T04:24:33Z An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales Kanit Mukdasai Piyapong Niamsup Mathematics We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, -uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on time scales. We construct appropriate Lyapunov functions and derive several stability conditions. Numerical examples are presented to illustrate the effectiveness of the theoretical results. © 2011 Kanit Mukdasai and Piyapong Niamsup. 2018-09-04T04:24:33Z 2018-09-04T04:24:33Z 2011-09-16 Journal 16870409 10853375 2-s2.0-80052655515 10.1155/2011/860506 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80052655515&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50117
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Kanit Mukdasai Piyapong Niamsup An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales
description	We consider Lyapunov stability theory of linear time-varying system and derive sufficient conditions for uniform stability, uniform exponential stability, -uniform stability, and h-stability for linear time-varying system with nonlinear perturbation on time scales. We construct appropriate Lyapunov functions and derive several stability conditions. Numerical examples are presented to illustrate the effectiveness of the theoretical results. © 2011 Kanit Mukdasai and Piyapong Niamsup.
format	Journal
author	Kanit Mukdasai Piyapong Niamsup
author_facet	Kanit Mukdasai Piyapong Niamsup
author_sort	Kanit Mukdasai
title	An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales
title_short	An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales
title_full	An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales
title_fullStr	An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales
title_full_unstemmed	An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales
title_sort	lmi approach to stability for linear time-varying system with nonlinear perturbation on time scales
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80052655515&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50117
_version_	1681423532116934656

An LMI approach to stability for linear time-varying system with nonlinear perturbation on time scales

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