Exponential l2—l∞ Stochastic Stability Analysis for Discrete-time Switching Markov Jump Linear Systems

作     者：HOU Linlin,ZONG Guangdeng,WU Yuqiang Institute of Automation,Qufu Normal University,Qufu 273165,P.R.China 

会议名称：《第三十届中国控制会议》

会议日期：2011年

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by National Nature Science Foundation under Grants 60904022,60974127,60875039 Scientific Research Foundation of Qufu Normal University 

关 键 词：Switching Markov jump linear Systems Exponential l2-l∞ stochastic stability Average dwell time method 

摘      要：The problem of exponential l-l_ stochastic stability is considered in this paper for a class of discrete-time switching Markov jump linear systems(S-MJLS).Firstly,the definition of exponential l-l_ stochastic stability is ***,by virtue of the average dwell time approach,the stochastic stability criteria are presented with an exponential l-l performance index and a decay rate.A numerical example is provided to demonstrate the effectiveness of the obtained results.