Exponential Stability of Stochastic Nonlinear Delay Systems Subject to Multiple Periodic Impulses

• 成果类型: Article
• 署名作者: Xu, Haofeng; Zhu, Quanxin; Zheng, Wei Xing
• 署名单位: Hunan Normal University; Western Sydney University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3335005
• 发表日期: 2024
• 页码: 2621-2628
• 关键词: Stability criteria; Stochastic processes; Numerical stability; delay systems; asymptotic stability; DELAYS; control theory; Globally weakly stochastically exponential stability; multiple periodic impulses; stochastic system; time delay

摘要

This article is devoted to stability analysis of stochastic nonlinear delay systems subject to multiple periodic impulses. By means of the stochastic analysis technique and improved Razumikhin method, we obtain several novel stability criteria under the combined action of impulsive disturbance and impulsive control. It is worth noting that the definition of globally weakly stochastically exponential stability is introduced and this article is the first attempt to study such stability notion for the considered system. In particular, we further discuss the double effects brought by multiple periodic impulses. As a verification, two numerical examples are presented to show the validity of the obtained results both theoretically and practically.