{"title":"On the Convergence Rate of Non-Linear Consensus Networks with Delays","authors":"C. Somarakis, J. Baras","doi":"10.3182/20130904-3-FR-2041.00146","DOIUrl":null,"url":null,"abstract":"Abstract We consider a generic non-linear consensus model and prove convergence results to a common value together with prescribed rate of convergence. Instead of a Lyapunov approach we consider a functional metric space and make a fixed point theory argument using contraction mappings. We are restricted to the case of static networks.","PeriodicalId":420241,"journal":{"name":"IFAC Symposium on Nonlinear Control Systems","volume":"368 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IFAC Symposium on Nonlinear Control Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3182/20130904-3-FR-2041.00146","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
Abstract We consider a generic non-linear consensus model and prove convergence results to a common value together with prescribed rate of convergence. Instead of a Lyapunov approach we consider a functional metric space and make a fixed point theory argument using contraction mappings. We are restricted to the case of static networks.