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Delayed-state-feedback exponential stabilization for uncertain Markovian jump systems with mode-dependent time-varying state delays

机译：具有模式相关时变状态时滞的不确定Markovian跳跃系统的时滞状态反馈指数镇定

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This paper studies the problem of the robustly exponential stabilization for uncertain Markovian jump systems with mode-dependent time-varying state delays. The contribution of this paper is two-fold. Firstly, by constructing a modified Lyapunov functional and using free-weighting matrices technique, some delay-dependent robustly exponential stability criteria of such systems are obtained in terms of linear matrix inequalities (LMIs), which are less conservative than some existing ones. Secondly, a state feedback controller is designed, which can guarantee the robustly exponential stability of the uncertain closedloop systems. Some illustrative numerical examples are given to demonstrate the reduced conservatism and applicability of the obtained results.
机译：研究了具有时变状态时滞的不确定马尔可夫跳跃系统的鲁棒指数镇定问题。本文的贡献是双重的。首先，通过构造改进的Lyapunov泛函并使用自由加权矩阵技术，以线性矩阵不等式（LMI）的形式获得了此类系统的一些依赖于时延的鲁棒指数稳定性准则，该准则不如某些现有的保守。其次，设计了一种状态反馈控制器，可以保证不确定闭环系统的鲁棒指数稳定性。给出了一些说明性的数值示例，以证明所获得结果的保守性和适用性降低。

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