Stabilization of Stochastic Highly Nonlinear Delay Systems With Neutral Term

• 成果类型: Article
• 署名作者: Zhao, Ying; Zhu, Quanxin
• 署名单位: Hunan Normal University; Hunan Normal University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3186827
• 发表日期: 2023
• 页码: 2544-2551
• 关键词: Feedback control; DELAYS; Markov processes; delay systems; switches; Lyapunov methods; asymptotic stability; Discrete-time feedback control function; highly nonlinear stochastic systems; Markov switching; neutral term; stabilization

摘要

In this article, stochastic highly nonlinear delay systems with neutral term are studied, which does not satisfy the linear growth condition. Under the local Lipschtiz condition and the polynomial growth condition, we study the existence and uniqueness, as well as boundedness, of global solution for stochastic highly nonlinear delay systems with neutral term. By designing a discrete-time feedback control function, the stabilization of stochastic highly nonlinear delay systems with neutral term is presented. Different from the previous literature, our discrete-time feedback control function depends on Markov switching signals with a delay. An illustrative example is given to show the effectiveness of the obtained results.