On local stability analysis for Persidskii systems with power nonlinearities

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

Systems & Control Letters Pub Date : 2025-07-23 DOI:10.1016/j.sysconle.2025.106205

Alexander Aleksandrov , Denis Efimov

引用次数: 0

Abstract

Considering a conventional Persidskii system with power nonlinearities, an approach is presented for a local Lyapunov function design, whose applicability conditions are less restrictive than for the standard global Lyapunov function, and which provides a tighter bounds on the convergence rates for the state variables. Using the singular perturbation theory, these applicability conditions are further refined. The theoretical findings are illustrated by simulations for several examples.

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具有功率非线性的Persidskii系统的局部稳定性分析

针对一类具有幂非线性的传统Persidskii系统，提出了一种局部Lyapunov函数设计方法，该方法的适用条件比标准全局Lyapunov函数的适用条件更宽松，并且对状态变量的收敛速度提供了更严格的界。利用奇异摄动理论，进一步细化了这些适用条件。通过几个算例的仿真验证了理论结果。

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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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.