| On delay-dependent robust stability of neutral systems |
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| 作者姓名： | Renxin ZHONG Zhi YANG Guoli WANG |
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| 作者单位： | [1]Department of Automation and Computer-Aided Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong, China [2]Department of Electronics and Communication Engineering, Sun Yat-Sen University, Guangzhou Guangdong 510275, China |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China（No. 60473120）. |
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| 摘 要： | The delay-dependent robust stability of uncertain linear neutral systems with delays is investigated. Both discrete-delay-dependent/neutral-delay-independent and neutral-/discrete- delay-dependent stability criteria will be developed. The proposed stability criteria are formulated in the form of linear matrix inequalities and it is easy to check the robust stability of the considered systems. By introducing certain Lyapunov-Krasovskii functional the mathematical development of our result avoids model transformation and bounding for cross terms, which lead to conservatism. Finally, numerical example is given to indicate the improvement over some existing results.
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| 关 键 词： | 中性系统 延迟标准 鲁棒控制 稳定性 参数控制 |
| 收稿时间： | 2004-09-30 |
| 修稿时间： | 2005-05-27 |
On delay-dependent robust stability of neutral systems |
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| Renxin ZHONG,Zhi YANG,Guoli WANG.On delay-dependent robust stability of neutral systems[J].Journal of Control Theory and Applications,2006,4(2):181-186. |
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| Authors: | Renxin ZHONG Zhi YANG Guoli WANG |
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| Affiliation: | 1. Department of Automation and Computer-Aided Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong, China
2. Department of Electronics and Communication Engineering, Sun Yat-Sen University, Guangzhou Guangdong 510275, China |
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| Abstract: | The delay-dependent robust stability of uncertain linear neutral systems with delays is investigated. Both discrete-delay-dependent/neutral-delay-independent and neutral-/discrete- delay-dependent stability criteria will be developed. The proposed stability criteria are formulated in the form of linear matrix inequalities and it is easy to check the robust stability of the considered systems. By introducing certain Lyapunov-Krasovskii functional the mathematical development of our result avoids model transformation and bounding for cross terms, which lead to conservatism. Finally, numerical example is given to indicate the improvement over some existing results. |
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| Keywords: | Neutral system Delay-dependent criteria Robust stability Time-varying parameter uncertainty Linear matrix inequality |
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