Robust control for uncertain switched systems with interval nondifferentiable time-varying delays

This paper addresses the conditions for robust stabilization of a class of uncertain switched systems with delay. The system to be considered is autonomous and the state delay is time-varying. Using Lyapunov functional approach, restriction on the derivative of time-delay function is not required to...

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Main Authors: T. La-Inchua, P. Niamsup
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/51787
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-517872018-09-04T06:09:04Z Robust control for uncertain switched systems with interval nondifferentiable time-varying delays T. La-Inchua P. Niamsup Mathematics This paper addresses the conditions for robust stabilization of a class of uncertain switched systems with delay. The system to be considered is autonomous and the state delay is time-varying. Using Lyapunov functional approach, restriction on the derivative of time-delay function is not required to design switching rule for the robust stabilization of switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of LMIs which can be solved by various available algorithms. A numerical example is given to illustrate the effectiveness of theoretical results. © 2012 T. La-inchua and P. Niamsup. 2018-09-04T06:09:04Z 2018-09-04T06:09:04Z 2012-09-17 Journal 16870042 1110757X 2-s2.0-84866142147 10.1155/2012/718618 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84866142147&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51787
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
T. La-Inchua
P. Niamsup
Robust control for uncertain switched systems with interval nondifferentiable time-varying delays
description This paper addresses the conditions for robust stabilization of a class of uncertain switched systems with delay. The system to be considered is autonomous and the state delay is time-varying. Using Lyapunov functional approach, restriction on the derivative of time-delay function is not required to design switching rule for the robust stabilization of switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of LMIs which can be solved by various available algorithms. A numerical example is given to illustrate the effectiveness of theoretical results. © 2012 T. La-inchua and P. Niamsup.
format Journal
author T. La-Inchua
P. Niamsup
author_facet T. La-Inchua
P. Niamsup
author_sort T. La-Inchua
title Robust control for uncertain switched systems with interval nondifferentiable time-varying delays
title_short Robust control for uncertain switched systems with interval nondifferentiable time-varying delays
title_full Robust control for uncertain switched systems with interval nondifferentiable time-varying delays
title_fullStr Robust control for uncertain switched systems with interval nondifferentiable time-varying delays
title_full_unstemmed Robust control for uncertain switched systems with interval nondifferentiable time-varying delays
title_sort robust control for uncertain switched systems with interval nondifferentiable time-varying delays
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84866142147&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/51787
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