| 部分转移概率马尔科夫时变时滞系统的镇定 |
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| 引用本文： | 杨晓婷,池小波.部分转移概率马尔科夫时变时滞系统的镇定[J].太原师范学院学报(自然科学版),2012(4):93-97. |
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| 作者姓名： | 杨晓婷 池小波 |
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| 作者单位： | 山西大学数学科学学院 |
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| 摘 要： | 研究一类带有部分未知转移概率的连续时间马尔科夫跳变时变系统的稳定性和镇定问题．引入自由连接权重矩阵方法得到一个较小保守性的稳定性判据．以线性矩阵不等式的形式得到状态反馈控制器存在的一个充分条件．最后，给出数值例子说明所提方法的有效性．
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| 关 键 词： | 马尔科夫跳变系统 镇定 线性矩阵不等式 自由连接权重矩阵方法 |
Stabilization of Markov Jump Systems with Time-Varying Delays and Partly Transition Probabilities |
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| Yang Xiaoting Chi Xiaobo.Stabilization of Markov Jump Systems with Time-Varying Delays and Partly Transition Probabilities[J].Journal of Taiyuan Normal University:Natural Science Edition,2012(4):93-97. |
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| Authors: | Yang Xiaoting Chi Xiaobo |
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| Institution: | Yang Xiaoting Chi Xiaobo (School of Mathematic Sciences,Shanxi University,Taiyuan 030006,China) |
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| Abstract: | Stability and stabilization for a class of continuous-time Markovian jump systems with time-varying delays and partly unknown transition probabilities. The free-connection weighting matrix method is introduced to obtain a less conservative stability criterion. A sufficient condition for the existence of state feedback controller is derived in terms of linear matrix inequalities. Finally, a numericalexample is given to illustrate the effectiveness of the proposed method. |
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| Keywords: | Markovian jump systems stabilization linear matrix inequalities free-connection weighting matrix method |
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