{"title":"Equivalent conditions for the synchronization of identical linear systems over arbitrary interconnections","authors":"Nicola Zaupa , Giulia Giordano , Isabelle Queinnec , Sophie Tarbouriech , Luca Zaccarian","doi":"10.1016/j.ejcon.2024.101099","DOIUrl":null,"url":null,"abstract":"<div><p>We propose necessary and sufficient conditions for the synchronization of <span><math><mi>N</mi></math></span> 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.</p></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"80 ","pages":"Article 101099"},"PeriodicalIF":2.5000,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0947358024001596/pdfft?md5=652c5d1c9f1c81c834271e7c51df6bea&pid=1-s2.0-S0947358024001596-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Control","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0947358024001596","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
We propose necessary and sufficient conditions for the synchronization of 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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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.
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The design and implementation of a successful control system requires the use of a range of techniques:
Modelling
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Optimization
Control Law Design
Numerical analysis
Fault Detection, and so on.
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