Ying-xiang Chang, Xianfeng Li, Y. Chu, Xiu-ping Han
{"title":"参数完全未知的两个物理系统的自适应同步控制","authors":"Ying-xiang Chang, Xianfeng Li, Y. Chu, Xiu-ping Han","doi":"10.1109/IWCFTA.2009.13","DOIUrl":null,"url":null,"abstract":"In this paper, the chaos and chaos synchronism of two physical systems are studied further by numerical simulation. The adaptive synchronism method is used to synchronize Rikitake and Porous Media systems with fully unknown parameters and two significantly different initial conditions. The sufficient condition of global asymptotic synchronization with adaptive control amplitudes is attained from the theory of Lyapunov stability. Numerical simulations show the effectiveness and feasibility of the scheme in synchronizing two systems with different structure and initial conditions, and the proposed methods have some more advantageous and succinct excellence than others, can be extended to other applications.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Synchronization of Two Physical Systems with Fully Unknown Parameters by Adaptive Control\",\"authors\":\"Ying-xiang Chang, Xianfeng Li, Y. Chu, Xiu-ping Han\",\"doi\":\"10.1109/IWCFTA.2009.13\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the chaos and chaos synchronism of two physical systems are studied further by numerical simulation. The adaptive synchronism method is used to synchronize Rikitake and Porous Media systems with fully unknown parameters and two significantly different initial conditions. The sufficient condition of global asymptotic synchronization with adaptive control amplitudes is attained from the theory of Lyapunov stability. Numerical simulations show the effectiveness and feasibility of the scheme in synchronizing two systems with different structure and initial conditions, and the proposed methods have some more advantageous and succinct excellence than others, can be extended to other applications.\",\"PeriodicalId\":279256,\"journal\":{\"name\":\"2009 International Workshop on Chaos-Fractals Theories and Applications\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Workshop on Chaos-Fractals Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCFTA.2009.13\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Workshop on Chaos-Fractals Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCFTA.2009.13","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Synchronization of Two Physical Systems with Fully Unknown Parameters by Adaptive Control
In this paper, the chaos and chaos synchronism of two physical systems are studied further by numerical simulation. The adaptive synchronism method is used to synchronize Rikitake and Porous Media systems with fully unknown parameters and two significantly different initial conditions. The sufficient condition of global asymptotic synchronization with adaptive control amplitudes is attained from the theory of Lyapunov stability. Numerical simulations show the effectiveness and feasibility of the scheme in synchronizing two systems with different structure and initial conditions, and the proposed methods have some more advantageous and succinct excellence than others, can be extended to other applications.