基于时滞分割法的Markov随机切换系统指数稳定性  

Exponential stability for stochastic Markovian jump systems through time fractioning approach

作　　者：赵旭东[1] 凌明祥[1] 曾庆双[1] 

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

出　　处：《系统工程与电子技术》2009年第9期2200-2207,共8页Systems Engineering and Electronics

摘　　要：研究了时变时滞满足h1≤d(t)≤h2的I■型随机Markov切换系统的区间时滞相关指数稳定性。基于时滞分割的思想,建立了新颖的Lyapunov-Krasovskii泛函,并引入一些改进的积分等式,以线性矩阵不等式的形式给出了低保守性的区间时滞相关指数稳定条件。最后用几个数值算例说明该结论的有效性及其较低的保守性。The delay-range-dependent exponential stability problems for Ito stochastic Markovian jump linear systems with interval time-varying delays satisfying h1≤d（t）≤h2 are investigated. In terms of linear matrix inequalities, a less conservative delay-range-dependent stability condition for Markovian jump systems is proposed by constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the time delay and introducing new integral-equality approaches. Numerical examples are provided to demonstrate the effectiveness and less conservativeness of the results.

关 键 词：时滞相关稳定性 MARKOV切换系统 区间时变时滞 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]