{"title":"Adaptive Synchronization of the Incommensurate Fractional-order Chaotic Systems with Fully Unknown Parameters","authors":"R. Zhanga, Gang Tian, Lanzhong Li, Jingbo Gong","doi":"10.1109/IWCFTA.2012.82","DOIUrl":null,"url":null,"abstract":"This letter presents a modified adaptive control scheme to synchronize the incommensurate fractional-order chaotic systems with fully unknown parameters. Based on Lyapunov stability theory and fractional order differential inequality, a simple adaptive controller is developed using modified adaptive control scheme. The proposed scheme is global and theoretically rigorous. Simulation results for the fractional-order hyperchaotic Lorenz system is provided to illustrate the effectiveness of the proposed scheme.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"8 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.2012.82","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This letter presents a modified adaptive control scheme to synchronize the incommensurate fractional-order chaotic systems with fully unknown parameters. Based on Lyapunov stability theory and fractional order differential inequality, a simple adaptive controller is developed using modified adaptive control scheme. The proposed scheme is global and theoretically rigorous. Simulation results for the fractional-order hyperchaotic Lorenz system is provided to illustrate the effectiveness of the proposed scheme.
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