Abstract
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.
基金项目
National Natural Science Foundation of China(61751305)
National Natural Science Foundation of China(61873294)
Talent Programme of Anhui province,and Programme of Shanghai Academic Research Leader(20XD1401300)
NETL
NSTL
万方数据