非理想跳变信息下Markov切换系统的稳定性准则(英文)  

Stability criteria of Markov jump linear systems with partially known transition rates

作　　者：曾庆双[1] 赵旭东[1] 

机构地区：[1]空间控制与惯性技术研究中心哈尔滨工业大学,哈尔滨150001

出　　处：《哈尔滨商业大学学报（自然科学版）》2010年第6期700-705,共6页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：国防科技预研基金(9140A17030207HT0150)

摘　　要：研究具有部分已知转移速率的时滞Markov切换系统的稳定性问题,其中时滞部分是模型相关并且时变的.基于最近关于这类系统的研究成果,通过建立新的Lyapunov-Krasovskii泛涵,给出了LMI条件的随机稳定性条件.数值算例说明本文给出结论的有效性.This paper deals with the stability analysis problems for a class of Markov jump systems with partially known transition rate and time-delays which are time varying and depend on system mode.Flowing the recent study on the class of systems,improves sufficient conditions for stochastic stability of the underlying systems are derived in form of LMI by constructing a new Lyapunov-Krasovskii function.Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.

关 键 词：随机稳定性 MARKOV切换系统 时变时滞 线性矩阵不等式 

分 类 号：TP173[自动化与计算机技术—控制理论与控制工程]