传输概率未知的具有马尔科夫跳跃的时滞系统的时滞依赖稳定性新判据

New Delay-Dependent Stability for Markovian Jump Delayed Systems with Partially Unknown Transition Probabilities

研究了传输概率未知的具有马尔科夫跳跃的时滞系统的稳定性与镇定性问题.首先基于新引入的不等式条件和新构造的李雅普诺夫泛函,并结合自由矩阵的引入,得到了依赖于时滞的线性矩阵不等式稳定性条件.然后基于得到的稳定性条件,利用矩阵分析的技巧设计出依赖于模型变化的控制器.最后通过数值实例验证了所得结果的优越性和可行性.

This paper addresses the problem of the delay - dependent stability for Markovian jump delayed systems with partial information on transition probability. First, combined the new constructed Lyapunov functional with the introduced free matrices, using the introduced inequalties rule and the analysis technique of matrix inequalities, the delay -dependent stability conditions are obtained. Second, based on the stability results, the model -dependent controllers are designed by the technology of inequalities of matrices. Finally, the numerical example is given to show the validity and potential of the developed criteria.