{"title":"分数阶超混沌系统的滑模控制","authors":"Jing Bai, Yongguang Yu","doi":"10.1109/IWCFTA.2010.86","DOIUrl":null,"url":null,"abstract":"In this paper, active sliding mode controllers are designed to realize the control and synchronization of fractional-order hyper chaotic systems. Based on stability theorems of fractional calculus, the stability analysis of the proposed method is performed. Finally, three numerical simulations are presented to show the effectiveness of the obtained results. The simulations are all implemented using predictor-corrector method to solve the fractional differential equations.","PeriodicalId":157339,"journal":{"name":"2010 International Workshop on Chaos-Fractal Theories and Applications","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Sliding Mode Control of Fractional-order Hyperchaotic Systems\",\"authors\":\"Jing Bai, Yongguang Yu\",\"doi\":\"10.1109/IWCFTA.2010.86\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, active sliding mode controllers are designed to realize the control and synchronization of fractional-order hyper chaotic systems. Based on stability theorems of fractional calculus, the stability analysis of the proposed method is performed. Finally, three numerical simulations are presented to show the effectiveness of the obtained results. The simulations are all implemented using predictor-corrector method to solve the fractional differential equations.\",\"PeriodicalId\":157339,\"journal\":{\"name\":\"2010 International Workshop on Chaos-Fractal Theories and Applications\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-10-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Workshop on Chaos-Fractal Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCFTA.2010.86\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Workshop on Chaos-Fractal Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCFTA.2010.86","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Sliding Mode Control of Fractional-order Hyperchaotic Systems
In this paper, active sliding mode controllers are designed to realize the control and synchronization of fractional-order hyper chaotic systems. Based on stability theorems of fractional calculus, the stability analysis of the proposed method is performed. Finally, three numerical simulations are presented to show the effectiveness of the obtained results. The simulations are all implemented using predictor-corrector method to solve the fractional differential equations.
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