A Frequency-Domain Criterion for the Quadratic Stability of Discrete-Time Systems with Switching between Three Linear Subsystems

IF 0.6 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Automation and Remote Control Pub Date : 2024-11-05 DOI:10.1134/S0005117924700012

V. A. Kamenetskiy

引用次数: 0

Abstract

Connected systems with switching between three linear discrete-time subsystems are considered, and a new frequency-domain criterion for the existence of a quadratic Lyapunov function ensuring the stability of such systems under arbitrary switching is proposed. The application of this criterion is demonstrated on an example of a third-order system.

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在三个线性子系统间切换的离散时间系统四维稳定性的频域准则

本文考虑了在三个线性离散时间子系统之间进行切换的连接系统，并提出了一个新的频域准则，即存在一个二次Lyapunov函数，以确保此类系统在任意切换下的稳定性。以一个三阶系统为例，演示了这一准则的应用。

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

Automation and Remote Control 工程技术-仪器仪表

CiteScore

1.70

自引率

28.60%

发文量

审稿时长

3-8 weeks

期刊介绍： Automation and Remote Control is one of the first journals on control theory. The scope of the journal is control theory problems and applications. The journal publishes reviews, original articles, and short communications (deterministic, stochastic, adaptive, and robust formulations) and its applications (computer control, components and instruments, process control, social and economy control, etc.).