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Delay Tolerance for Stable Stochastic Systems and Extensions

机译：稳定随机系统和延伸的延迟容差

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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.
机译：本文建立了“鲁棒性”型结果，即，在合适条件下稳定随机系统的延迟公差。我们研究了稳定随机系统的延迟公差和这种系统的延迟反馈控制，其中延迟可以被规定或由采样数据引起。首先，我们考虑具有全球Lipschitz连续系数的系统，并表明，当没有延迟的原始随机系统是指数稳定时，具有小延迟的系统仍然是指数稳定的第PTH Mome。特别是，当Pth矩指数稳定性基于Lyapunov条件时，我们可以获得明确的延迟界限甲型指数稳定性。然后，我们考虑一类具有Nonglobal Lipschitz条件的随机系统，并找到几乎确定和均方指数稳定性的延迟绑定。作为稳定性公差标准的扩展，研究了具有测量噪声和非均匀延迟的多层系统的共识和跟踪控制。

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  • 来源
    《IEEE Transactions on Automatic Control》 |2021年第6期|2604-2619|共16页
  • 作者

    Zong Xiaofeng; Li Tao; Yin George; Zhang Ji-Feng;

  • 作者单位

    China Univ Geosci Sch Automat Wuhan 430074 Peoples R China|Hubei Key Lab Adv Control & Intelligent Automat C Wuhan 430074 Peoples R China;

    East China Normal Univ Shanghai Key Lab Pure Math & Math Practice Sch Math Sci Shanghai 200241 Peoples R China;

    Univ Connecticut Dept Math Storrs CT 06269 USA;

    Chinese Acad Sci Acad Math & Syst Sci Key Lab Syst & Control Inst Syst Sci Beijing 100190 Peoples R China|Univ Chinese Acad Sci Sch Math Sci Beijing 100149 Peoples R China;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Delay; multiagent system; stability; stochastic system;

    机译：延迟;多元素系统;稳定性;随机系统;

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