动力系统极限集的若干结果

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

Systems & Control Letters Pub Date : 2025-08-23 DOI:10.1016/j.sysconle.2025.106223

Iasson Karafyllis

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引用次数: 0

摘要

本文给出了动力系统极限集的两个新结果。我们证明了极限集可以通过使用满足不同假设的函数来估计，在某些情况下，这些假设比李亚普诺夫定理和拉萨尔定理中的通常假设要求低。另一个新结果包含嵌套Matrosov定理和著名的Barbashin-Krasovskii-LaSalle定理。

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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Results for the omega limit sets of dynamical systems

This paper provides two new results for the omega limit sets of a dynamical system. We show that omega limit sets can be estimated by using functions that satisfy different -and in some cases less demanding- assumptions than the usual assumptions in Lyapunov theorems and LaSalle’s theorem. An additional novel result is provided that contains as special cases the nested Matrosov theorem and the well-known Barbashin-Krasovskii-LaSalle theorem.

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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.