{"title":"统一混沌系统的跟踪控制同步与自适应反馈同步","authors":"Hai Xie, B. Hu","doi":"10.1109/IWCFTA.2012.60","DOIUrl":null,"url":null,"abstract":"This paper mainly investigates synchronization problem of unified chaotic systems, and presents two novel synchronization methods: synchronization of two identical unified chaotic systems based on tracking control, and adaptive feedback synchronization of two different unified chaotic systems with unknown parameter based on the Lyapunov stability theory. A controller is designed in first method. An adaptive feedback controller and a parameter update law are designed in second method. Theoretical analysis and numerical simulations show the effectiveness of these methods.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Tracking Control Synchronization and Adaptive Feedback Synchronization of Unified Chaotic Systems\",\"authors\":\"Hai Xie, B. Hu\",\"doi\":\"10.1109/IWCFTA.2012.60\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper mainly investigates synchronization problem of unified chaotic systems, and presents two novel synchronization methods: synchronization of two identical unified chaotic systems based on tracking control, and adaptive feedback synchronization of two different unified chaotic systems with unknown parameter based on the Lyapunov stability theory. A controller is designed in first method. An adaptive feedback controller and a parameter update law are designed in second method. Theoretical analysis and numerical simulations show the effectiveness of these methods.\",\"PeriodicalId\":354870,\"journal\":{\"name\":\"2012 Fifth International Workshop on Chaos-fractals Theories and Applications\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-10-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Fifth International Workshop on Chaos-fractals Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCFTA.2012.60\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCFTA.2012.60","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Tracking Control Synchronization and Adaptive Feedback Synchronization of Unified Chaotic Systems
This paper mainly investigates synchronization problem of unified chaotic systems, and presents two novel synchronization methods: synchronization of two identical unified chaotic systems based on tracking control, and adaptive feedback synchronization of two different unified chaotic systems with unknown parameter based on the Lyapunov stability theory. A controller is designed in first method. An adaptive feedback controller and a parameter update law are designed in second method. Theoretical analysis and numerical simulations show the effectiveness of these methods.
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