具有慢、快时变和切换的线性系统的稳定性：一般情况

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems Pub Date : 2025-08-05 DOI:10.1016/j.nahs.2025.101626

Hyungbo Shim , Daniel Liberzon

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引用次数: 0

摘要

本文研究了具有慢时变和快时变切换的线性系统的指数稳定性问题。我们使用平均来消除快速动态，只保留慢动态。然后，结合摄动分析，我们用一个新的慢时变切换系统的稳定性判据来证明原系统的稳定性。分析涉及到在新的坐标下处理脉冲系统，这使我们能够处理与以前的工作相比更一般的系统。

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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Stability of linear systems with slow and fast time variation and switching: General case

This paper studies exponential stability of linear systems with slow and fast time variation and switching. We use averaging to eliminate the fast dynamics and only retain the slow dynamics. We then use a recent stability criterion for slowly time-varying and switched systems, combined with perturbation analysis, to prove stability of the original system. The analysis involves working with an impulsive system in new coordinates, which enables us to treat a more general class of systems compared to previous work.

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来源期刊

Nonlinear Analysis-Hybrid Systems AUTOMATION & CONTROL SYSTEMS-MATHEMATICS, APPLIED

CiteScore

8.30

自引率

9.50%

发文量

审稿时长

>12 weeks

期刊介绍： Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.