基于积分不等式的时滞Markovian跳变系统的稳定性分析和镇定

摘要

文章研究了时滞Markovian跳变系统的稳定性和镇定问题.首先,运用一个新的积分不等式,得到了保守性更小的稳定性判据;其次,基于此判据,获得了一个状态反馈控制器存在的充分条件,使得闭环系统具有随机稳定性并满足扩展耗散性;最后,两个实际例子说明了设计方法的可行性和有效性.%This paper deals with the problem of stability analysis and stabilization for Markovian jump systems with time delays.Firstly,a stability criterion is derived by employing a new integral inequality.Secondly,based on the stability criterion,a sufficient condition,which ensures the existence of state feedback controllers such that the resulting closed-loop system is stochastically stable while satisfying extended dissipativity.Finally,two numerical examples are given to illustrate the effectiveness of the Droposed methods.