Stability of linear time-varying delay systems and applications to control problems

Stability of linear time-varying delay systems and applications to control problems

This paper deals with the stability of a class of linear time-varying systems with multiple delays. Using the Lyapunov function method, we give sufficient delay-dependent conditions for the exponential stability with a given convergence rate, which are described in terms of linear matrix inequalitie...

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Main Authors: Vu N. Phat, Piyapong Niamsup
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33646526977&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/61771
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-617712018-09-11T08:58:55Z Stability of linear time-varying delay systems and applications to control problems Vu N. Phat Piyapong Niamsup Mathematics This paper deals with the stability of a class of linear time-varying systems with multiple delays. Using the Lyapunov function method, we give sufficient delay-dependent conditions for the exponential stability with a given convergence rate, which are described in terms of linear matrix inequalities (LMI) and the solution of Riccati differential equations (RDE). The results are applied to the problem of stabilization of linear time-varying control systems with multiple delays. Numerical examples are given to illustrate the results. © 2005 Elsevier B.V. All rights reserved. 2018-09-11T08:58:55Z 2018-09-11T08:58:55Z 2006-10-01 Journal 03770427 2-s2.0-33646526977 10.1016/j.cam.2005.07.021 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33646526977&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/61771
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Vu N. Phat
Piyapong Niamsup
Stability of linear time-varying delay systems and applications to control problems
description This paper deals with the stability of a class of linear time-varying systems with multiple delays. Using the Lyapunov function method, we give sufficient delay-dependent conditions for the exponential stability with a given convergence rate, which are described in terms of linear matrix inequalities (LMI) and the solution of Riccati differential equations (RDE). The results are applied to the problem of stabilization of linear time-varying control systems with multiple delays. Numerical examples are given to illustrate the results. © 2005 Elsevier B.V. All rights reserved.
format Journal
author Vu N. Phat
Piyapong Niamsup
author_facet Vu N. Phat
Piyapong Niamsup
author_sort Vu N. Phat
title Stability of linear time-varying delay systems and applications to control problems
title_short Stability of linear time-varying delay systems and applications to control problems
title_full Stability of linear time-varying delay systems and applications to control problems
title_fullStr Stability of linear time-varying delay systems and applications to control problems
title_full_unstemmed Stability of linear time-varying delay systems and applications to control problems
title_sort stability of linear time-varying delay systems and applications to control problems
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33646526977&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/61771
_version_ 1681425682824953856

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