{"title":"带延迟振荡器网络的无源同步:在天线阵列上的应用","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":"{\"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}","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}
Passive synchronization of network of oscillators with delays: Application to antenna arrays
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.