文献类型：期刊文献

中文题名：Stability analysis and stabilization of semi-Markov jump linear systems with unavailable sojourn-time information

作者：Xiaotai WU[1];Yang TANG[2];Shuai MAO[2];Ying ZHAO[1]

机构：[1]School of Mathematics and Physics,Anhui Polytechnic University,Wuhu 241000,China;[2]Key Laboratory of Advanced Control and Optimization for Chemical Processes,Ministry of Education,East China University of Science and Technology,Shanghai 200237,China

年份：2024

卷号：67

期号：7

起止页码：207

中文期刊名：Science China(Information Sciences)

外文期刊名：中国科学（信息科学）（英文版）

收录：CSTPCD;;Scopus;CSCD:【CSCD2023_2024】；

基金：supported in part by National Natural Science Foundation of China (Grant Nos. 61751305, 61873294);Talent Programme of Anhui province;Programme of Shanghai Academic Research Leader (Grant No. 20XD1401300)

语种：英文

中文关键词：semi-Markov chain;semi-Markov jump linear systems;σ-error mean square stability;unavailable sojourn-time information

摘要：This study addresses the stability and stabilization problems of discrete-time semi-Markov jump linear systems(S-MJLSs)with unavailable sojourn-time information.The sojourn-time probability mass functions(S-TPMFs)of discrete-time semi-Markov chains are no longer confined to the geometric distribution,and it is difficult to obtain accurate and comprehensive information for S-TPMFs in practice.This is because S-TPMFs are usually deduced from the statistical characteristics according to the sampled-data,while adequate samples are often costly and time consuming.In this study,when the S-TPMFs for semi-Markov chains are assumed to be unavailable,theσ-error mean square stability is investigated for discrete-time SMJLSs with some widely used assumptions;for semi-Markov chains,only the transition probability matrix of the embedded chain is used.In addition,the existence conditions of the effective controller are provided for closed-loop systems without using the information of S-TPMFs.Numerical examples are presented to illustrate the validity of the obtained theoretical results.