Stability Analysis of Discrete-Time Semi-Markov Jump Linear Systems With Time Delay

• 成果类型: Article
• 署名作者: Wang, Bao; Zhu, Quanxin; Li, Subei
• 署名单位: Hunan Normal University; Xuzhou University of Technology; Xuzhou University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3240926
• 发表日期: 2023
• 页码: 6758-6765
• 关键词: Controller design; discrete-time semi-Markov jump linear systems; linear matrix inequality (LMI); semi-Markov switching condition; time delay.

摘要

The stability and stabilization problems for discrete-time semi-Markov jump linear systems with time delay are discussed. By virtue of a novel Lyapunov-Krasovskill functional and the probability structure of semi-Markov switching signal, the sufficient stability conditions for the considered systems are presented in terms of a set of linear matrix inequalities and a proper semi-Markov switching condition. Based on such conditions, the time delay and mode dependent controller can be designed to stabilize the corresponding closed-loop systems. Finally, two examples are given to illustrate the effectiveness of our results.