Stability and stabilization of discrete‐time singular Markov jump systems with time‐varying delay
Stability and stabilization of discrete‐time singular Markov jump systems with time‐varying delay
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DOI：
10.1002/rnc.1446
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发表时间：
2010-03
影响因子：
3.9
通讯作者：
Shuping Ma;E. Boukas;Y. Chinniah
中科院分区：
文献类型：
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作者：
Shuping Ma;E. Boukas;Y. Chinniah
讨论了时变时滞离散广义Markov跳变系统的随机稳定性和随机镇定问题。对于转移概率情况的全部和部分知识，给出了系统正则、因果和随机稳定的时滞依赖线性矩阵不等式（LMI）条件。以线性矩阵不等式的形式给出了状态反馈控制器存在的充分条件。最后给出了两个数值例子来说明该方法的有效性。版权所有© 2009约翰威利父子有限公司。
The stochastic stability and stochastic stabilization of time‐varying delay discrete‐time singular Markov jump systems are discussed. For full and partial knowledge of transition probabilities cases, delay‐dependent linear matrix inequalities (LMIs) conditions for the systems to be regular, causal and stochastically stable are given. Sufficient conditions are proposed for the existence of state feedback controller in terms of LMIs. Finally, two numerical examples to illustrate the effectiveness of the method are given. Copyright © 2009 John Wiley & Sons, Ltd.