Robust Stability and Stabilization of a Class of Uncertain Nonlinear Discrete-Time Stochastic Systems with Interval Time-Varying Delays
This paper deals with the problems of the robust stochastic stability and stabilization for a class of uncertain discrete-time stochastic systems with interval time-varying delays and nonlinear disturbances. By utilizing a new Lyapunov-Krasovskii functional and some well-known inequalities, some new...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/1319092 |
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| _version_ | 1849412406496722944 |
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| author | Shuang Liang Yali Dong |
| author_facet | Shuang Liang Yali Dong |
| author_sort | Shuang Liang |
| collection | DOAJ |
| description | This paper deals with the problems of the robust stochastic stability and stabilization for a class of uncertain discrete-time stochastic systems with interval time-varying delays and nonlinear disturbances. By utilizing a new Lyapunov-Krasovskii functional and some well-known inequalities, some new delay-dependent criteria are developed to guarantee the robust stochastic stability of a class of uncertain discrete-time stochastic systems in terms of the linear matrix inequality (LMI). Then based on the state feedback controller, the delay-dependent sufficient conditions of robust stochastic stabilization for a class of uncertain discrete-time stochastic systems with interval time-varying delays are established. The controller gain is designed to ensure the robust stochastic stability of the closed-loop system. Finally, illustrative examples are given to demonstrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-5bc5e5cb683e4fc1a65347b7eb454d55 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-5bc5e5cb683e4fc1a65347b7eb454d552025-08-20T03:34:28ZengWileyJournal of Control Science and Engineering1687-52491687-52572016-01-01201610.1155/2016/13190921319092Robust Stability and Stabilization of a Class of Uncertain Nonlinear Discrete-Time Stochastic Systems with Interval Time-Varying DelaysShuang Liang0Yali Dong1School of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaSchool of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaThis paper deals with the problems of the robust stochastic stability and stabilization for a class of uncertain discrete-time stochastic systems with interval time-varying delays and nonlinear disturbances. By utilizing a new Lyapunov-Krasovskii functional and some well-known inequalities, some new delay-dependent criteria are developed to guarantee the robust stochastic stability of a class of uncertain discrete-time stochastic systems in terms of the linear matrix inequality (LMI). Then based on the state feedback controller, the delay-dependent sufficient conditions of robust stochastic stabilization for a class of uncertain discrete-time stochastic systems with interval time-varying delays are established. The controller gain is designed to ensure the robust stochastic stability of the closed-loop system. Finally, illustrative examples are given to demonstrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2016/1319092 |
| spellingShingle | Shuang Liang Yali Dong Robust Stability and Stabilization of a Class of Uncertain Nonlinear Discrete-Time Stochastic Systems with Interval Time-Varying Delays Journal of Control Science and Engineering |
| title | Robust Stability and Stabilization of a Class of Uncertain Nonlinear Discrete-Time Stochastic Systems with Interval Time-Varying Delays |
| title_full | Robust Stability and Stabilization of a Class of Uncertain Nonlinear Discrete-Time Stochastic Systems with Interval Time-Varying Delays |
| title_fullStr | Robust Stability and Stabilization of a Class of Uncertain Nonlinear Discrete-Time Stochastic Systems with Interval Time-Varying Delays |
| title_full_unstemmed | Robust Stability and Stabilization of a Class of Uncertain Nonlinear Discrete-Time Stochastic Systems with Interval Time-Varying Delays |
| title_short | Robust Stability and Stabilization of a Class of Uncertain Nonlinear Discrete-Time Stochastic Systems with Interval Time-Varying Delays |
| title_sort | robust stability and stabilization of a class of uncertain nonlinear discrete time stochastic systems with interval time varying delays |
| url | http://dx.doi.org/10.1155/2016/1319092 |
| work_keys_str_mv | AT shuangliang robuststabilityandstabilizationofaclassofuncertainnonlineardiscretetimestochasticsystemswithintervaltimevaryingdelays AT yalidong robuststabilityandstabilizationofaclassofuncertainnonlineardiscretetimestochasticsystemswithintervaltimevaryingdelays |