Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay
This paper discusses the mean-square exponential stability of uncertain neutral linear stochastic systems with interval time-varying delays. A new augmented Lyapunov-Krasovskii functional (LKF) has been constructed to derive improved delay-dependent robust mean-square exponential stability criteria,...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/593780 |
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| _version_ | 1832558557535404032 |
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| author | Weihua Mao Feiqi Deng Anhua Wan |
| author_facet | Weihua Mao Feiqi Deng Anhua Wan |
| author_sort | Weihua Mao |
| collection | DOAJ |
| description | This paper discusses the mean-square exponential stability of uncertain neutral linear stochastic systems with interval time-varying delays. A new augmented Lyapunov-Krasovskii functional (LKF) has been constructed to derive improved delay-dependent robust mean-square exponential stability criteria, which are forms of linear matrix inequalities (LMIs). By free-weight matrices method, the usual restriction that the stability conditions only bear slow-varying derivative of the delay is removed. Finally, numerical examples are provided to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-e469dc77ebc94b9d8bf52cdc588e951c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e469dc77ebc94b9d8bf52cdc588e951c2025-02-03T01:32:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/593780593780Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying DelayWeihua Mao0Feiqi Deng1Anhua Wan2College of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, ChinaCollege of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, ChinaSchool of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, ChinaThis paper discusses the mean-square exponential stability of uncertain neutral linear stochastic systems with interval time-varying delays. A new augmented Lyapunov-Krasovskii functional (LKF) has been constructed to derive improved delay-dependent robust mean-square exponential stability criteria, which are forms of linear matrix inequalities (LMIs). By free-weight matrices method, the usual restriction that the stability conditions only bear slow-varying derivative of the delay is removed. Finally, numerical examples are provided to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2012/593780 |
| spellingShingle | Weihua Mao Feiqi Deng Anhua Wan Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay Journal of Applied Mathematics |
| title | Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay |
| title_full | Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay |
| title_fullStr | Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay |
| title_full_unstemmed | Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay |
| title_short | Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay |
| title_sort | delay dependent robust exponential stability for uncertain neutral stochastic systems with interval time varying delay |
| url | http://dx.doi.org/10.1155/2012/593780 |
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