Markov跳变系统的随机稳定性和鲁棒性  

Stochastic Stability and Robustness of Markovian Jump Linear Systems

作　　者：施梅芳[1] 

机构地区：[1]常熟理工学院计算机科学与工程学院,常熟215500

出　　处：《计算机与数字工程》2013年第10期1586-1588,1605,共4页Computer & Digital Engineering

摘　　要：对一类由Markov过程驱动的跳变性系统,给出均方差渐近/指数/随机稳定的线性矩阵不等式(Linear Matrix Inequality,LMI)刻画。与已有的稳定性判据相比,论文提出的判据更方便验证。在此基础上,探讨在子系统和转移概率矩阵受扰时的鲁棒稳定问题,给出鲁棒裕度的显示估计。For a class of iump linear systems driven by Markov processes, square asymptotie/expoential/stochastic stability criteria is presented based on linear matrix inequalities. Compared with existing criteria, the criteria are more easily verified. By means of the criteria, the problem of robust stability against subsystem and transition probablity perturbations are discussed, and explicit estimate of robust margin is presented.

关 键 词：跳变线性系统 均方差稳定 鲁棒裕度 线性矩阵不等式 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]