Robust exponential stability and stabilizability of linear parameter dependent systems with delays

The robust exponential stability and stabilizability problems are addressed in this paper for a class of linear parameter dependent systems with interval time-varying and constant delays. In this paper, restrictions on the derivative of the time-varying delay is not required which allows the time-de...

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Main Authors: Botmart T., Niamsup P.
Format: Journal
Published: 2017
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957976271&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/43210
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-432102017-09-28T06:52:01Z Robust exponential stability and stabilizability of linear parameter dependent systems with delays Botmart T. Niamsup P. The robust exponential stability and stabilizability problems are addressed in this paper for a class of linear parameter dependent systems with interval time-varying and constant delays. In this paper, restrictions on the derivative of the time-varying delay is not required which allows the time-delay to be a fast time-varying function. Based on the Lyapunov-Krasovskii theory, we derive delay-dependent exponential stability and stabilizability conditions in terms of linear matrix inequalities (LMIs) which can be solved by various available algorithms. Numerical examples are given to illustrate the effectiveness of our theoretical results. © 2010 Elsevier Inc. All rights reserved. 2017-09-28T06:52:01Z 2017-09-28T06:52:01Z 2010-11-15 Journal 00963003 2-s2.0-77957976271 10.1016/j.amc.2010.07.068 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957976271&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43210
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
description The robust exponential stability and stabilizability problems are addressed in this paper for a class of linear parameter dependent systems with interval time-varying and constant delays. In this paper, restrictions on the derivative of the time-varying delay is not required which allows the time-delay to be a fast time-varying function. Based on the Lyapunov-Krasovskii theory, we derive delay-dependent exponential stability and stabilizability conditions in terms of linear matrix inequalities (LMIs) which can be solved by various available algorithms. Numerical examples are given to illustrate the effectiveness of our theoretical results. © 2010 Elsevier Inc. All rights reserved.
format Journal
author Botmart T.
Niamsup P.
spellingShingle Botmart T.
Niamsup P.
Robust exponential stability and stabilizability of linear parameter dependent systems with delays
author_facet Botmart T.
Niamsup P.
author_sort Botmart T.
title Robust exponential stability and stabilizability of linear parameter dependent systems with delays
title_short Robust exponential stability and stabilizability of linear parameter dependent systems with delays
title_full Robust exponential stability and stabilizability of linear parameter dependent systems with delays
title_fullStr Robust exponential stability and stabilizability of linear parameter dependent systems with delays
title_full_unstemmed Robust exponential stability and stabilizability of linear parameter dependent systems with delays
title_sort robust exponential stability and stabilizability of linear parameter dependent systems with delays
publishDate 2017
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957976271&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/43210
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