Invariant and Attracting Sets of Stochastic Partial Functional Differential Systems

• 成果类型: Article
• 署名作者: Xu, Liguang; Li, Dingshi
• 署名单位: University of Shanghai for Science & Technology; Southwest Jiaotong University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3618317
• 发表日期: 2026
• 关键词: Exponential stability; EQUATIONS; EXISTENCE

摘要

This article is dedicated to analyzing invariant and attracting sets of stochastic partial functional differential systems. By introducing an approximate system with strong solutions and employing a limit argument along with a proof by reductio ad absurdum, several new sufficient conditions for the existence of invariant and attracting sets of the mild solutions are established. Finally, examples are provided alongside comparisons to existing results to demonstrate the superiority of our obtained outcomes.