时滞马尔科夫跳变系统的分析与综合研究综述（英文）

A survey on analysis and synthesis of delayed Markovian jump systems

马尔科夫跳变系统研究是控制与系统领域的重点和热点方向.过去20年来,时滞马尔科夫跳变系统的分析与综合问题得到了广泛研究,提出了许多重要的方法,得到了很多有价值的结论.简要介绍稳定性分析的Lyapunov-Krasovskii泛函方法的一般思想,然后针对不同的时滞马尔科夫跳变系统,概述稳定性分析、反馈镇定以及基于干扰抑制性能指标的控制和滤波的研究现状,最后给出未来可能的研究方向.

The study of Markovian jump systems （MJSs） is an important and hot research branch in the control and system area. Over the past 20 years, the analysis and synthesis problems for delayed MJSs have been extensively studied. A great many of important methods and valuable results have been proposed in the literature. The general idea of Lyapunov-Krasovskii functional approach to stability analysis was briefly introduced. Then, the studies of stability analysis, feedback stabilization, and control and filtering with disturbance attenuation performances for different kinds of delayed MJSs were reviewed. Some future possible research topics were also introduced at the end of this paper.