| Robust H_∞ Control for Uncertain Markovian Jump Linear Time-Delay Systems |
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| 引用本文： | Zhong Maiying,Zhu Kunping & Tang Bingyong Business and Management School of Donghua University,Shanghai 200051,P. R. China. Robust H_∞ Control for Uncertain Markovian Jump Linear Time-Delay Systems[J]. 系统工程与电子技术(英文版), 2002, 13(1) |
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| 作者姓名： | Zhong Maiying Zhu Kunping & Tang Bingyong Business and Management School of Donghua University Shanghai 200051 P. R. China |
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| 作者单位： | Zhong Maiying，Zhu Kunping & Tang Bingyong Business and Management School of Donghua University，Shanghai 200051，P. R. China |
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| 摘 要： | 1 ＩＮＴＲＯＤＵＣＴＩＯＮＭａｒｋｏｖｉａｎｊｕｍｐｓｙｓｔｅｍｓａｒｅｄｅｆｉｎｅｄａｓａｆａｍｉｌｙｏｆｌｉｎｅａｒｓｙｓｔｅｍｓｗｉｔｈＭａｒｋｏｖｉａｎｊｕｍｐｐａｒａｍｅｔｅｒｓ.Ｔｈｉｓｃｌａｓｓｏｆｓｙｓｔｅｍｓ,ｗｈｉｃｈｗｅｒｅｉｎｉｔｉａｌｌｙｉｎｔｒｏｄｕｃｅｄｂｙＫｒａｓｏｒｋｉｉａｎｄＬｉｄｓｋｉｉｉｎｒｅｆｅｒｅｎｃｅ [1 ],ａｒｅａｌｗａｙｓｕｓｅｄｔｏｍｏｄｅｌｔｈｅｐｌａｎｔｓｗｈｏｓｅｓｔｒｕｃｔｕｒｅｉｓｓｕｂｊｅｃｔｔｏｒａｎｄｏｍｌｙａｂｒｕｐｔｃｈａｎｇｅ…
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| 关 键 词： | Markovian jump parameter Stochastic stabilization Robust H ∞ control Time delay system. |
Robust H∞ Control for Uncertain Markovian Jump Linear Time-Delay Systems |
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| Zhong Maiying,Zhu Kunping,Tang Bingyong. Robust H∞ Control for Uncertain Markovian Jump Linear Time-Delay Systems[J]. Journal of Systems Engineering and Electronics, 2002, 13(1) |
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| Authors: | Zhong Maiying Zhu Kunping Tang Bingyong |
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| Abstract: | This paper studies the robust stochastic stabilization and robust H∞ control for linear time-delay systems with both Markovian jump parameters and unknown norm-bounded parameter uncertainties. This problem can be solved on the basis of stochastic Lyapunov approach and linear matrix inequality (LMI) technique. Sufficient conditions for the existence of stochastic stabilization and robust H∞ state feedback controller are presented in terms of a set of solutions of coupled LMIs. Finally, a numerical example is included to demonstrate the practicability of the proposed methods. |
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| Keywords: | Markovian jump parameter Stochastic stabilization Time-delay system |
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