Delay Tolerance for Stable Stochastic Systems and Extensions

• 成果类型: Article
• 署名作者: Zong, Xiaofeng; Li, Tao; Yin, George; Zhang, Ji-Feng
• 署名单位: China University of Geosciences; East China Normal University; University of Connecticut; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Chinese Academy of Sciences; University of Chinese Academy of Sciences, CAS
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3012525
• 发表日期: 2021
• 页码: 2604-2619
• 关键词: Delay; multiagent system; STABILITY; stochastic system

摘要

This article establishes a robustness type result, namely, delay tolerance for stable stochastic systems under suitable conditions. We study the delay tolerance for stable stochastic systems and delayed feedback controls of such systems, where the delay can be statedependent or induced by the sampling-data. First, we consider systems with global Lipschitz continuous coefficients and show that when the original stochastic system without delay is pth moment exponentially stable, the system with small delays is still pth moment exponentially stable. In particular, when the pth moment exponential stability is based on Lyapunov conditions, we can obtain explicit delay bounds formoment exponential stability. Then, we consider a class of stochastic systems with nonglobal Lipschitz conditions and find a delay bound for almost sure and mean square exponential stability. As extension of the stability tolerance criteria, consensus, and tracking control of multiagent systems with measurement noises and nonuniform delays are studied.