半马尔可夫跃迁随机系统的矩稳定性分析：扩展系统方法

IF 7 1区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS IEEE Transactions on Automatic Control Pub Date : 2025-01-13 DOI:10.1109/TAC.2025.3529278

Fangxu Su;Weihai Zhang;Panyu Wu;Xiaoning Lv

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引用次数: 0

摘要

本文主要研究半马尔可夫跳变随机系统在p阶矩意义下的稳定性。首先，构造了扩展系统方法，将p阶矩意义上的半马尔可夫跳变随机系统的分析转化为扩展系统的分析。利用扩展系统方法，得到了系统在偶阶矩意义下稳定的充分必要条件。最后，通过算例说明了所得结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Moment Stability Analysis of Semi-Markov Jump Stochastic Systems: Extended System Method

This article focuses on the analysis for stability of semi-Markov jump stochastic systems in

$p$

th moment sense. First of all, the extended system method is constructed, which can transform the analysis of semi-Markov jump stochastic systems in

$p$

th moment sense into the analysis of the extended systems. With the help of the extended system method, the necessary and sufficient conditions for stability in the even-order moment sense are derived. Finally, several examples are given to illustrate the effectiveness of the results.

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来源期刊

IEEE Transactions on Automatic Control 工程技术-工程：电子与电气

CiteScore

11.30

自引率

5.90%

发文量

824

审稿时长

9 months

期刊介绍： In the IEEE Transactions on Automatic Control, the IEEE Control Systems Society publishes high-quality papers on the theory, design, and applications of control engineering. Two types of contributions are regularly considered: 1) Papers: Presentation of significant research, development, or application of control concepts. 2) Technical Notes and Correspondence: Brief technical notes, comments on published areas or established control topics, corrections to papers and notes published in the Transactions. In addition, special papers (tutorials, surveys, and perspectives on the theory and applications of control systems topics) are solicited.