{"title":"Synchronization of heterogeneous and uncertain networks via adaptive intermittent pinning control","authors":"Anning Chen , Linying Xiang","doi":"10.1016/j.sysconle.2024.105858","DOIUrl":null,"url":null,"abstract":"<div><p>In the context of network synchronization, achieving a coherent solution poses a significant challenge, particularly in scenarios where the systems exhibit heterogeneous and uncertain dynamics. The ability to successfully steer the network towards synchronization under heterogeneous and uncertain dynamics is an important research subject. In this paper, synchronization of heterogeneous and uncertain networks is investigated by designing an adaptive intermittent pinning controller. Based on Lyapunov stability theory, sufficient conditions to guarantee network synchronization are obtained. Moreover, an adaptive algorithm for uncertain gain is designed and its validity is rigorously established. Finally, numerical simulations are provided to demonstrate the correctness of the obtained results.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105858"},"PeriodicalIF":2.1000,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems & Control Letters","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167691124001464","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
In the context of network synchronization, achieving a coherent solution poses a significant challenge, particularly in scenarios where the systems exhibit heterogeneous and uncertain dynamics. The ability to successfully steer the network towards synchronization under heterogeneous and uncertain dynamics is an important research subject. In this paper, synchronization of heterogeneous and uncertain networks is investigated by designing an adaptive intermittent pinning controller. Based on Lyapunov stability theory, sufficient conditions to guarantee network synchronization are obtained. Moreover, an adaptive algorithm for uncertain gain is designed and its validity is rigorously established. Finally, numerical simulations are provided to demonstrate the correctness of the obtained results.
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.
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