Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays

Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays

In this paper, the problem of exponential stabilization for a class of linear systems with time-varying delay is studied. The time delay is a continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying delay are available, but the delay functio...

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Main Authors: T. Botmart, P. Niamsup, V. N. Phat
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79956134920&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50122
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-501222018-09-04T04:24:41Z Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays T. Botmart P. Niamsup V. N. Phat Mathematics In this paper, the problem of exponential stabilization for a class of linear systems with time-varying delay is studied. The time delay is a continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying delay are available, but the delay function is not necessary to be differentiable. Based on the construction of improved Lyapunov-Krasovskii functionals combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the exponential stabilization of the systems are first established in terms of LMIs. Numerical examples are given to demonstrate that the derived conditions are much less conservative than those given in the literature. © 2011 Elsevier Inc. All rights reserved. 2018-09-04T04:24:41Z 2018-09-04T04:24:41Z 2011-07-01 Journal 00963003 2-s2.0-79956134920 10.1016/j.amc.2011.02.097 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79956134920&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50122
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
T. Botmart
P. Niamsup
V. N. Phat
Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays
description In this paper, the problem of exponential stabilization for a class of linear systems with time-varying delay is studied. The time delay is a continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying delay are available, but the delay function is not necessary to be differentiable. Based on the construction of improved Lyapunov-Krasovskii functionals combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the exponential stabilization of the systems are first established in terms of LMIs. Numerical examples are given to demonstrate that the derived conditions are much less conservative than those given in the literature. © 2011 Elsevier Inc. All rights reserved.
format Journal
author T. Botmart
P. Niamsup
V. N. Phat
author_facet T. Botmart
P. Niamsup
V. N. Phat
author_sort T. Botmart
title Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays
title_short Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays
title_full Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays
title_fullStr Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays
title_full_unstemmed Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays
title_sort delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79956134920&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50122
_version_ 1681423533000884224

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