Exponential moment stability on discrete time Markovian switching singular systems

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

Systems & Control Letters Pub Date : 2025-06-08 DOI:10.1016/j.sysconle.2025.106148

Yingying Han , Shaosheng Zhou

引用次数: 0

Abstract

This paper addresses the problem of exponential moment stability for a class of discrete time Markovian jump singular systems. To solve this problem, a stochastic process dependent coordinate transformation is proposed via constructing rank-canonical form of transformation matrix. A series of criteria of exponential moment stability including spectral radius-based moment stability for the underlying systems are established in light of the rank-canonical form of transformation and cumulant generating function as well as extended system approach. The effectiveness of the proposed results is illustrated by two numerical examples.

查看原文本刊更多论文

离散时间马尔可夫切换奇异系统的指数矩稳定性

研究了一类离散时间马尔可夫跳变奇异系统的指数矩稳定性问题。为了解决这一问题，通过构造变换矩阵的秩-规范形式，提出了一种与随机过程相关的坐标变换。根据变换的秩-正则形式和累积生成函数以及扩展系统方法，建立了包括基于谱半径的系统指数矩稳定性的一系列判据。通过两个算例说明了所提结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.