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

• 成果类型: Article
• 署名作者: Su, Fangxu; Zhang, Weihai; Wu, Panyu; Lv, Xiaoning
• 署名单位: Shandong University of Science & Technology; Shandong University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3529278
• 发表日期: 2025
• 页码: 4053-4060
• 关键词: Stability criteria; Power system stability; Stochastic systems; kernel; Sufficient conditions; Indium tin oxide; vectors; Random processes; Hands; Transforms; Extended system method; pth moment stability; semi-Markov jump stochastic system; spectrum criterion

摘要

This article focuses on the analysis for stability of semi-Markov jump stochastic systems in pth moment sense. First of all, the extended system method is constructed, which can transform the analysis of semi-Markov jump stochastic systems in pth 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.