A LMI-Based Approach for Robust Stabilization of Uncertain Linear Continuous Time Singular Markov Switched Systems with Time Delays

作     者：Gao Lijun, Wu Yuqiang Institute of Automation, Qufu Normal University, Rizhao 276826 

会议名称：《第25届中国控制会议》

会议日期：2006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：This work is supported by National Nature Science Foundation under Grant 60574007 

关 键 词：Markov switched systems Stabilization LMI Time delay 

摘      要：正The stability and stabilization of linear continuous time singular Markov switched systems with time delay are investigated. Based on the linear matrix inequality method （LMIs） , the robust stability of uncertain linear stochastic delay system is guaranteed irrespective of the value of the time delay. Then the proposed theory can be extended to discuss the robust stabilization of uncertain stochastic differential delay systems. The gains of this controller are the solution of some linear matrix inequalities. Final numerical example is solved to show the effectiveness and validness of the theoretical results.