Stabilization of Hidden Markov Jump Singular Systems With Limit Mode Switching Information

• 成果类型: Article
• 署名作者: Wang, Bao; Zhu, Quanxin; Li, Subei
• 署名单位: Xuzhou University of Technology; Hunan Normal University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3518418
• 发表日期: 2025
• 页码: 3410-3416
• 关键词: hidden Markov models; switches; stability analysis; Markov processes; Linear matrix inequalities; Symmetric matrices; Cause effect analysis; Matrix decomposition; uncertainty; Design methodology; Emission probability; hidden Markov process; linear matrix inequality; singular system; transition probability

摘要

This article studies the stability analysis and stabilization problems for a class of discrete-time hidden Markov jump singular systems with partly known transition probabilities and emission probabilities. The novel sufficient conditions with original coefficient matrices are proposed to guarantee the regularity, causality, and stochastic stability of the considered systems. Based on such conditions, the linear matrix inequalities-based asynchronous controller design method for the resulting control systems can be designed. An example is presented to show the effectiveness of our controller design method.