Robust Stability and Stabilizability of Markov Jump Linear Uncertain Systems with Mode-Dependent Time Delays
Robust Stability and Stabilizability of Markov Jump Linear Uncertain Systems with Mode-Dependent Time Delays
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DOI：
10.1109/acc.2001.945830
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发表时间：
2001-06
影响因子：
1.9
通讯作者：
E. Boukas;Zikuan Liu
中科院分区：
文献类型：
--
作者：
E. Boukas;Zikuan Liu
本文研究了一类带有马尔可夫跳变扰动的不确定线性时滞系统，其中时滞与系统的模式有关。基于LMI的条件，这类系统是鲁棒稳定的。给出了状态反馈控制器鲁棒可镇定的充分条件，并提出了一种基于线性矩阵不等式的状态反馈设计方法。数值算例表明了理论结果的有效性。
This paper studies the class of uncertain linear systems with time delay and Markov jump disturbance, in which the time delay is assumed to be dependent on the system mode. An LMI-based condition for this class of systems to be robustly stable is established. Sufficient conditions for the robust stabilizability under a state feedback controller are developed, and an LMI-based method to design the state feedback is proposed. Numerical examples are worked out to show the usefulness of the theoretical results.