On σ-error moment stability and stabilization for discrete-time semi-Markov jump linear systems

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2024-08-27 DOI:10.1016/j.sysconle.2024.105909

Jiamin Liu , Zhao-Yan Li

引用次数: 0

Abstract

In this paper, we study the $σ$ -error moment stability and stabilization for a class of discrete-time semi-Markov jump linear systems (S-MJLS). It is shown that the existing results on $σ$ -error moment stability for discrete-time S-MJLS can be obtained under weaker conditions, and based on the established stability results, the high-order moment stabilization problem is investigated for the first time.

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论离散时半马尔可夫跃迁线性系统的σ误差矩稳定性和稳定性

本文研究了一类离散时间半马尔可夫跃迁线性系统（S-MJLS）的σ误差矩稳定性和稳定问题。结果表明，现有的离散时间 S-MJLS σ-误差矩稳定性结果可以在较弱条件下得到，并在已有稳定性结果的基础上，首次研究了高阶矩稳定问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.