分布相关SDEs的有限时间稳定性

IF 2.5 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2025-10-23 DOI:10.1016/j.sysconle.2025.106267

Yong Ren , Xueping Wang , Yin Wu

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引用次数: 0

摘要

本文讨论了分布相关随机微分方程的有限时间稳定性定理。利用Lyapunov泛函方法，建立了DDSDEs的概率和稳定时间函数的有限时间吸引准则。最后给出了一个算例来说明理论结果。

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 for distribution dependent SDEs

In this paper, we aim to discuss the finite-time stability theorem for distribution dependent stochastic differential equations (DDSDEs, in short). The criteria on finite time attractiveness in probability and settling time function of DDSDEs are established by means of Lyapunov functional method. An example is given to show the theoretical results.

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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.