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

扫码查看

原文链接

NETL
NSTL
万方数据

外文摘要：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 distribu-tion,and it is difficult to obtain accurate and comprehensive information for S-TPMFs in practice.This is be-cause 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,the σ-error mean square stability is investigated for discrete-time S-MJLSs 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.

外文关键词：

semi-Markov chainsemi-Markov jump linear systemsσ-error mean square stabilityunavail-able sojourn-time information

作者：

Xiaotai WU、Yang TANG、Shuai MAO、Ying ZHAO

展开 >

作者单位：

School of Mathematics and Physics,Anhui Polytechnic University,Wuhu 241000,China

Key Laboratory of Advanced Control and Optimization for Chemical Processes,Ministry of Education,East China University of Science and Technology,Shanghai 200237,China

基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaTalent Programme of Anhui province,and Programme of Shanghai Academic Research Leader

项目编号：

617513056187329420XD1401300

出版年：

2024

DOI：

10.1007/s11432-023-4065-2

中国科学:信息科学(英文版)

中国科学院

中国科学:信息科学(英文版)

CSTPCDEI

影响因子：0.715

ISSN：1674-733X

年,卷(期)：2024.67(7)