论具有可变核的分布延迟非线性均质系统的稳定性

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

Systems & Control Letters Pub Date : 2024-06-12 DOI:10.1016/j.sysconle.2024.105853

A. Aleksandrov , D. Efimov , E. Fridman

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引用次数: 0

摘要

本文研究了具有分布式延迟和可变内核的非线性均质系统的稳定性问题。研究采用了 Lyapunov-Krasovskii 和 Razumikhin 两种方法。研究证明，辅助无延迟均质系统零解的全局渐近稳定性意味着具有分布延迟的原始系统零解的局部渐近稳定性。此外，还应用平均技术分析了非线性时变扰动对系统动力学的影响。研究结果通过一个用李纳德方程描述的机械系统和一个线性系统的间接控制系统设计进行了说明。

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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On stability of nonlinear homogeneous systems with distributed delays having variable kernels

The stability problem for nonlinear homogeneous systems with distributed delay and variable kernel is studied. Both, the Lyapunov–Krasovskii and the Razumikhin, approaches are applied. It is proved that the global asymptotic stability of the zero solution for an auxiliary delay-free homogeneous system implies the local asymptotic stability of the zero solution for the original system with distributed delay. Moreover, the impact of nonlinear time-varying perturbations on the system dynamics is analyzed applying the averaging techniques. The results are illustrated by a mechanical system described by a Lienard equation, and an indirect control system design for a linear system.

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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.