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摘要: 考虑具有状态时滞的Markov切换系统的均方指数稳定性分析问题. 为此, 我们构造了一类较为一般的与模态相关的Lyapunov-Krasovskii泛函, 并利用Markonv过程的统计性质计算泛函的微分. 进而, 通过引入自由权矩阵建立了以线性矩阵不等式表述的稳定性准则. 仿真算例验证了方法的有效性.Abstract: This paper discusses the problem of exponential mean-square stability analysis for delayed systems with Markovian switching. A mode-dependent Lyapunov-Krasovskii functional taking a rather general form is used. The statistical property of Markov process is used to derive the differential of the functional. Considering this and applying the free-weighting matrix technique, a new stability criterion is obtained by means of linear matrix inequalities. The effectiveness of the proposed result is numerically demonstrated by examples provided finally.
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