Improved Halanay Inequalities for Stability and Dissipativity of Highly Nonlinear Hybrid Stochastic Differential Delay Equations

• 成果类型: Article
• 署名作者: Zhu, Song; Zhang, Jun; Wen, Shiping; Lai, Jingang; Mu, Chaoxu
• 署名单位: China University of Mining & Technology; University of Technology Sydney; Huazhong University of Science & Technology; Tianjin University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3622475
• 发表日期: 2026
• 关键词: Stabilization

摘要

This note focuses on the dissipativity and stability of highly nonlinear hybrid stochastic differential delay equations (HSDDEs). First, based on the results of previous research, a series of new time-varying Halanay-type inequalities is established, which overcomes the dependence of drift and diffusion terms on linear growth conditions in stochastic systems and expands the application of Halanay inequalities in highly nonlinear stochastic systems. Then, the dissipativity and stability conditions of highly nonlinear HSDDEs are derived by the improved Halanay inequalities, and the corollaries of typical special cases are given. Different from the majority of current articles, this note relaxes the restrictions by not requiring the time delay to be boundless and differentiable. Finally, the validity of the theoretical results is confirmed with several numerical examples.