{"title":"Passive synchronization of network of oscillators with delays: Application to antenna arrays","authors":"F. Hutu, S. Cauet, P. Coirault","doi":"10.23919/ECC.2007.7068875","DOIUrl":null,"url":null,"abstract":"In this paper, time delays effects on network synchronization are tackled in the case of a network of a diffusely coupled identical systems. It is assumed that the parameters of the networks are in a polytope. Using Lyapunov methods and LMI (Linear matrix inequality) framework coupled to dissipativity theory, a new condition is given to assure global exponential synchronization. The approach is successfully applied to network of oscillators used in smart antenna application.","PeriodicalId":407048,"journal":{"name":"2007 European Control Conference (ECC)","volume":"144 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 European Control Conference (ECC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ECC.2007.7068875","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, time delays effects on network synchronization are tackled in the case of a network of a diffusely coupled identical systems. It is assumed that the parameters of the networks are in a polytope. Using Lyapunov methods and LMI (Linear matrix inequality) framework coupled to dissipativity theory, a new condition is given to assure global exponential synchronization. The approach is successfully applied to network of oscillators used in smart antenna application.