{"title":"通过一个简单的控制器实现Loren系统和Chen系统的全局有限时间混沌同步","authors":"Chen Yun, Z. Dawei, Liu Shilei, Zhang Xiyong","doi":"10.23919/CCC50068.2020.9188429","DOIUrl":null,"url":null,"abstract":"The global finite-time synchronization between the Loren system and the Chen system via a simple controller is investigated in this paper. Firstly, a simple controller is designed to establish the master-slave synchronization scheme of the chaotic Lorenz system and the chaotic Chen system. And then, the finite-time stability theory is applied to verify the synchronization criterion of the chaotic Lorenz system and the chaotic Chen system and the corresponding synchronization time is analytically estimated in a mathematical formula. Finally, the effectiveness of the result obtained in this paper is confirmed by a numerical example.","PeriodicalId":255872,"journal":{"name":"2020 39th Chinese Control Conference (CCC)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global finite-time chaos synchronization between the Loren system and the Chen system via a simple controller\",\"authors\":\"Chen Yun, Z. Dawei, Liu Shilei, Zhang Xiyong\",\"doi\":\"10.23919/CCC50068.2020.9188429\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The global finite-time synchronization between the Loren system and the Chen system via a simple controller is investigated in this paper. Firstly, a simple controller is designed to establish the master-slave synchronization scheme of the chaotic Lorenz system and the chaotic Chen system. And then, the finite-time stability theory is applied to verify the synchronization criterion of the chaotic Lorenz system and the chaotic Chen system and the corresponding synchronization time is analytically estimated in a mathematical formula. Finally, the effectiveness of the result obtained in this paper is confirmed by a numerical example.\",\"PeriodicalId\":255872,\"journal\":{\"name\":\"2020 39th Chinese Control Conference (CCC)\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 39th Chinese Control Conference (CCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/CCC50068.2020.9188429\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 39th Chinese Control Conference (CCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/CCC50068.2020.9188429","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Global finite-time chaos synchronization between the Loren system and the Chen system via a simple controller
The global finite-time synchronization between the Loren system and the Chen system via a simple controller is investigated in this paper. Firstly, a simple controller is designed to establish the master-slave synchronization scheme of the chaotic Lorenz system and the chaotic Chen system. And then, the finite-time stability theory is applied to verify the synchronization criterion of the chaotic Lorenz system and the chaotic Chen system and the corresponding synchronization time is analytically estimated in a mathematical formula. Finally, the effectiveness of the result obtained in this paper is confirmed by a numerical example.
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