Rn上杂化夹杂的光滑Conley-Lyapunov函数

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

Systems & Control Letters Pub Date : 2025-07-29 DOI:10.1016/j.sysconle.2025.106204

Rafal K. Goebel , Andrew R. Teel

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引用次数: 0

摘要

在混合包含条件下，在紧不变集和吸引子的吸引盆上构造光滑Conley-Lyapunov函数。这些函数在不变量集或吸引子的链循环部分之外的严格减少用李雅普诺夫不等式来表征。给出了混合包含的类欧拉近似的一个应用。

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A smooth Conley–Lyapunov function for hybrid inclusions on Rn

In the setting of a hybrid inclusion, smooth Conley–Lyapunov functions are constructed on a compact invariant set and on the basin of attraction of an attractor. The strict decrease of these functions outside of the chain-recurrent parts of the invariant set or the attractor is characterized by Lyapunov inequalities. An application to an Euler-like approximation of a hybrid inclusion is given.

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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.