马尔可夫跳跃时滞系统的时滞相关鲁棒H_∞性能分析  

Delay- dependent Robust H_∞performance analysis of Markovian jump systems with time-delay

作　　者：周琪[1] 陈兵[2] 李鸿一[1] 

机构地区：[1]渤海大学数学系,辽宁锦州121013 [2]青岛大学复杂性科学研究所,山东青岛266071

出　　处：《渤海大学学报（自然科学版）》2007年第4期330-334,共5页Journal of Bohai University:Natural Science Edition

基　　金：国家自然科学基金项目(No:60674055);山东省系统理论"泰山学者"建设工程专项基金;山东省自然科学基金项目(No:Y2006G04).

摘　　要：主要考虑马尔可夫跳跃时滞不确定线性系统的鲁棒H_∞性能分析问题。基于现行矩阵不等式方法给出跳跃系统是时滞相关鲁棒随机稳定并且满足给定的H_∞性能指标的充分条件。并用算例与现有结果进行比较,进而说明了文中方法具有较小的保守性。This paper focuses on the problem of delay - dependent Robust H∞ performance analysis for Markovian jump linear systems with time delay. Based on linear matrix inequality approach, a sufficient condition is proposed under which the system is Robust stochastic stability for all admissible uncertainties and achieves a prescribed H∞ performance. At last, a numerical example is used to compare our method with the existing results, and consequently, shows our result is of less conservativeness.

关 键 词：马尔可夫跳跃系统 时滞相关 随机稳定 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]