Equivalent conditions for the synchronization of identical linear systems over arbitrary interconnections

IF 2.5 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2024-08-31 DOI:10.1016/j.ejcon.2024.101099

Nicola Zaupa , Giulia Giordano , Isabelle Queinnec , Sophie Tarbouriech , Luca Zaccarian

引用次数: 0

Abstract

We propose necessary and sufficient conditions for the synchronization of $N$ identical single-input–single-output (SISO) systems, connected through a directed graph without imposing any assumption on the graph interconnection. We consider both the continuous-time and the discrete-time case, and we provide conditions that are equivalent to the uniform global exponential stability, with guaranteed convergence rate, of the closed and unbounded attractor that corresponds to the synchronization set.

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任意互联上相同线性系统同步的等效条件

我们提出了通过有向图连接的 N 个相同单输入-单输出 (SISO) 系统同步的必要和充分条件，而不对图的互连施加任何假设。我们同时考虑了连续时间和离散时间的情况，并提供了与同步集相对应的封闭无界吸引子等效的统一全局指数稳定性的条件，同时保证了收敛率。

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

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.