Nonfragile Finite-Time Stabilization for Discrete Mean-Field Stochastic Systems

• 成果类型: Article
• 署名作者: Zhang, Tianliang; Deng, Feiqi; Shi, Peng
• 署名单位: Nanjing University of Science & Technology; South China University of Technology; University of Adelaide; Victoria University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3238849
• 发表日期: 2023
• 页码: 6423-6430
• 关键词: Finite-time stabilization; nonfragile control; state-transition matrix (STM); Stochastic systems

摘要

In this article, the problem of nonfragile finite-time stabilization for linear discrete mean-field stochastic systems is studied. The uncertain characteristics in control parameters are assumed to be random satisfying the Bernoulli distribution. A new approach called the state-transition matrix method is introduced and some necessary and sufficient conditions are derived to solve the underlying stabilization problem. The Lyapunov theorem based on the state-transition matrix also makes a contribution to the discrete finite-time control theory. One practical example is provided to validate the effectiveness of the newly proposed control strategy.