| 广义随机 Markov 跳变系统的耗散控制 |
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| 引用本文： | 李丽,赵岩.广义随机 Markov 跳变系统的耗散控制[J].锦州师范学院学报(自然科学版),2014(2):138-143. |
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| 作者姓名： | 李丽 赵岩 |
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| 作者单位： | 渤海大学数理学院,辽宁锦州121013 |
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| 基金项目： | 国家自然科学基金项目（No：61304054）. |
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| 摘 要： | 本文研究了带有布朗运动的广义随机Markov跳变系统的耗散控制问题。首先给出了系统随机容许性的充要条件和系统严格耗散性的充分条件。在此基础上给出了基于严格线性矩阵不等式的状态反馈控制器的设计方法，使得相应的闭环系统是随机容许的和严格耗散的。最后用数值算例验证了所得结论的正确性。
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| 关 键 词： | 广义系统 Markov跳变系统 布朗运动 耗散控制 线性矩阵不等式 |
Dissipative control for singular stochastic Markovian jump systems |
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| LI Li,ZHAO Yan.Dissipative control for singular stochastic Markovian jump systems[J].Journal of Jinzhou Normal College (Natural Science Edition),2014(2):138-143. |
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| Authors: | LI Li ZHAO Yan |
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| Institution: | (College of Mathematics and Physics, Bohai University, Jinzhou 121013, China) |
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| Abstract: | This paper deals with the problem of dissipative control for singular Markovian jump systems with Wiener process .A sufficient and necessary condition is derived , which guarantees that the singular system is sto-chastic admissible .Based on this , the existence condition in the term of strict linear matrix inequalities for the dissipative state feedback controller is proposed .A numerical example is given to illustrate the effectiveness of the proposed design method . |
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| Keywords: | singular systems Markovian jump systems Brownian motion dissipative control linear ma-trix inequality |
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