文 献 综 述

摘要

Markov跳跃系统（MJSs）是按照一定随机切换规则在一组子系统之间进行切换的混杂系统。对转移概率的分析能够使系统简化，但MJSs的转移概率信息可能很难全部获得，或者获取代价很大。因此，转移概率部分未知的Markov跳跃系统的稳定性分析与镇定控制问题的研究具有重要的理论意义和实际价值。

本文在综合一些近几年的有关Markov跳变系统性能分析与控制的文献，介绍了Markov跳变系统的研究背景及意义，阐述了课题的国内外研究现状，最后总结该课题难点，给出了方法综述。

关键字：Markov跳变系统（MJSs）、转移概率部分未知、稳定性分析、镇定控制

Abstract

Markov jump systems are hybrid systems switched according to a random switching rule among a set of subsystems. The knowledge on the transition probabilities are definitely expected to simplify the system analysis. However, the likelihood of obtaining the information of transition probabilities is actually questionable, and the cost is probably expensive. Therefore, stability and stabilization for the stochastic MJSs, with partly unknown transition probabilities are very important in control theory and its applications.

This article addresses the background, signification and state of development for MJSs. In the consequence, a statement of method is given according to pertinent literature in recent years.