{"title":"Synchronization of a class of uncertain chaotic systems","authors":"Zhang Tian-ping","doi":"10.7498/aps.55.3928","DOIUrl":null,"url":null,"abstract":"This paper presents an active control method for synchronization of two uncertain chaotic systems with parameters perturbation.A controller is designed to eliminate the nonlinear parts with the active control method.Based on Gerschgorin′s theorem in matrix theory,some simple generic criterions of global synchronization between two chaotic systems are established.To demonstrate the robustness and effectiveness of the proposed control strategy,it is applied to Lorenz systems and perfect simulation results are obtained.","PeriodicalId":17609,"journal":{"name":"Journal of Yangzhou University","volume":"40 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2006-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Yangzhou University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7498/aps.55.3928","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
This paper presents an active control method for synchronization of two uncertain chaotic systems with parameters perturbation.A controller is designed to eliminate the nonlinear parts with the active control method.Based on Gerschgorin′s theorem in matrix theory,some simple generic criterions of global synchronization between two chaotic systems are established.To demonstrate the robustness and effectiveness of the proposed control strategy,it is applied to Lorenz systems and perfect simulation results are obtained.
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