| 离散奇异马尔科夫跳变系统的广义二次随机稳定性和可镇定问题研究 |
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| 引用本文： | 冉华军,张涛.离散奇异马尔科夫跳变系统的广义二次随机稳定性和可镇定问题研究[J].三峡大学学报(自然科学版),2011,33(3):86-91. |
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| 作者姓名： | 冉华军 张涛 |
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| 作者单位： | 三峡大学电气与新能源学院,湖北宜昌,443002 |
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| 基金项目： | 三峡大学人才科研启动项目(0620100030) |
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| 摘 要： | 研究了离散奇异马尔科夫跳变系统的鲁棒随机稳定性和鲁棒随机可镇定问题.首先给出了以严格线性矩阵不等式表达的离散奇异马尔科夫跳变系统随机容许性充要条件,在此基础上引入广义二次随机稳定性和广义二次随机可镇定的概念,然后分别导出了以严格线性矩阵不等式表达的不确定离散奇异系统广义二次随机稳定性和广义二次随机可镇定充要条件,同时给...
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| 关 键 词： | 离散奇异马尔科夫跳变系统 广义二次随机稳定性 广义二次随机可镇定 线性矩阵不等式 |
Study of Problems of Generalized Quadratic Stochastical Stability and Stabilization for Uncertain Discrete-time Singular Markovian Jump System |
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| Ran Huajun,Zhang Tao.Study of Problems of Generalized Quadratic Stochastical Stability and Stabilization for Uncertain Discrete-time Singular Markovian Jump System[J].Journal of China Three Gorges University(Natural Sciences),2011,33(3):86-91. |
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| Authors: | Ran Huajun Zhang Tao |
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| Institution: | Ran Huajun Zhang Tao(College of Electrical Engineering & Renewable Energy,China Three Gorges Univ.,Yichang 443002,China) |
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| Abstract: | The problems of robust stability and stabilization for uncertain discrete-time singular Markovian jump system are studied.Firstly,a necessary and suffcient condition for a discrete-time singular Markovian jump system(MJL) to be stochastically admissible is proposed in terms of a strict linear matrix inequality(LMI).On the basis of this,the concepts of generalized quadratic stochastical stability and generalized quadratic stochastical stabilization for uncertain discrete-time MJL systems are introduced.Then ... |
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| Keywords: | discrete-time singular Markovian jump system generalized quadratic stochastical stability generalized quadratic stochastical stabilization linear matrix inequality |
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