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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th-cmuir.6653943832-70622014-08-30T03:51:32Z New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties Niamsup P. Rajchakit G. 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. 2014-08-30T03:51:32Z 2014-08-30T03:51:32Z 2013 Article 1110757X 10.1155/2013/368259 http://www.scopus.com/inward/record.url?eid=2-s2.0-84878637127&partnerID=40&md5=dac7483dac1167e4d2cf54f923e18eb5 http://cmuir.cmu.ac.th/handle/6653943832/7062 English |
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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 |
Article |
| author |
Niamsup P. Rajchakit G. |
| spellingShingle |
Niamsup P. Rajchakit G. New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties |
| author_facet |
Niamsup P. Rajchakit G. |
| author_sort |
Niamsup P. |
| 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 |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84878637127&partnerID=40&md5=dac7483dac1167e4d2cf54f923e18eb5 http://cmuir.cmu.ac.th/handle/6653943832/7062 |
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