通过广义哈拉内不等式实现随机延迟系统概率的有限时间稳定性

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2024-11-24 DOI:10.1016/j.sysconle.2024.105969

Han Yu , Song Zhu , Shiping Wen , Chaoxu Mu

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引用次数: 0

摘要

本文介绍了具有时变延迟的随机系统的分析和控制方面的新进展，重点是有限时间稳定性的概念。首先，本文建立了一种新的广义哈拉内不等式。利用这一关键方法，分别推导出了关于有界时延和无界时延随机延迟系统概率有限时间稳定性的两个基本随机李雅普诺夫定理。此外，还给出了随机沉降时间的上限估计。此外，还研究了一种非线性随机延迟系统，并提出了一种与延迟无关的控制器，以实现概率有限时间稳定性。通过两个示例证明了结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finite-time stability in probability of stochastic delay systems via generalized Halanay inequality

This paper presents novel advancements in the analysis and control of stochastic systems with time-varying delays, focusing on the concept of finite-time stability. Firstly, a new kind of generalized Halanay inequality is established. With this crucial approach, two essential stochastic Lyapunov theorems on the finite-time stability in probability of stochastic delay systems with bounded time delays and unbounded time delays, respectively, are derived. In addition, upper bound estimate for the stochastic settling time is given. Furthermore, a type of nonlinear stochastic delay systems is investigated and a delay-independent controller is proposed to achieve finite-time stability in probability. The effectiveness of the results is demonstrated through two illustrative examples.

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.