New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties

New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties

This paper addresses the robust stability for a class of linear discrete-time stochastic systems with convex polytopic uncertainties. The system to be considered is subject to both interval time-varying delays and convex polytopic type uncertainties. Based on the augmented parameter-dependent Lyapun...

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Main Authors: P. Niamsup, G. Rajchakit
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878637127&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/52753
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-527532018-09-04T09:31:36Z New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties P. Niamsup G. Rajchakit Mathematics This paper addresses the robust stability for a class of linear discrete-time stochastic systems with convex polytopic uncertainties. The system to be considered is subject to both interval time-varying delays and convex polytopic type uncertainties. Based on the augmented parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent conditions for the robust stability are established in terms of linear matrix inequalities. An application to robust stabilization of linear discrete-time stochastic control systems is given. Numerical examples are included to illustrate the effectiveness of our results. © 2013 P. Niamsup and G. Rajchakit. 2018-09-04T09:31:36Z 2018-09-04T09:31:36Z 2013-06-11 Journal 16870042 1110757X 2-s2.0-84878637127 10.1155/2013/368259 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878637127&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52753
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
P. Niamsup
G. Rajchakit
New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties
description This paper addresses the robust stability for a class of linear discrete-time stochastic systems with convex polytopic uncertainties. The system to be considered is subject to both interval time-varying delays and convex polytopic type uncertainties. Based on the augmented parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent conditions for the robust stability are established in terms of linear matrix inequalities. An application to robust stabilization of linear discrete-time stochastic control systems is given. Numerical examples are included to illustrate the effectiveness of our results. © 2013 P. Niamsup and G. Rajchakit.
format Journal
author P. Niamsup
G. Rajchakit
author_facet P. Niamsup
G. Rajchakit
author_sort P. Niamsup
title New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties
title_short New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties
title_full New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties
title_fullStr New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties
title_full_unstemmed New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties
title_sort new results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878637127&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/52753
_version_ 1681424008642297856

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