模型相关时变时滞马尔可夫跳变系统低保守稳定性  

Less conservative delay-dependent stability of Markovian jump systems with mode-dependent time-varying delays

作　　者：赵旭东[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：《控制理论与应用》2010年第5期653-657,共5页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60504008)

摘　　要：本文研究了时变时滞与模型相关的随机马尔可夫跳变系统的时滞相关稳定性问题.通过建立时变时滞与模型相关的系统模型,构造不同的Lyapunov-Krasovskii函数,并通过引入改进的积分等式,以线性矩阵不等式的形式提出了具有较小保守性的时滞依赖稳定性条件.最后用几个数值算例说明本文结论的有效性及较低的保守性.The delay-dependent stability problem for Markovian jump systems with mode-dependent time-varying delays is investigated.In terms of linear matrix inequalities,we propose a less conservative delay-dependent stability criterion for Markovian jump systems.This work includes the construction of a system model in which the jumps of the time-varying delays are model-dependent,develop a different Lyapunov-Krasovskii functional and introduce some improved integralequalities.Numerical examples are provided to demonstrate the efficiency and the reduced conservatism of the results.

关 键 词：时滞依赖稳定性 马尔可夫跳变系统 模型相关 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]