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.6653943832-478702018-04-25T08:44:57Z New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties P. Niamsup G. Rajchakit 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. 2018-04-25T08:44:57Z 2018-04-25T08:44:57Z 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/6653943832/47870 |
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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. |
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Journal |
| author |
P. Niamsup G. Rajchakit |
| spellingShingle |
P. Niamsup G. Rajchakit New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties |
| 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 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878637127&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47870 |
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