{"title":"一类超混沌系统的时滞反馈控制","authors":"Bin Lu, Zunshui Cheng","doi":"10.1109/DDCLS52934.2021.9455367","DOIUrl":null,"url":null,"abstract":"We study the dynamic behavior of a new type of hyper-chaotic system and use the method of time delay control to achieve the purpose of the control system. This paper analyzes the stability and existence of the equilibrium point and discusses the cross-sectional conditions under which the balance point has Hopf bifurcation. Then we give the time delay value of the periodic solution generated by the system equilibrium point. Numerical examples are given to verify the theoretical results.","PeriodicalId":325897,"journal":{"name":"2021 IEEE 10th Data Driven Control and Learning Systems Conference (DDCLS)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Time Delayed Feedback Control for a Class of Hyper-chaotic Systems\",\"authors\":\"Bin Lu, Zunshui Cheng\",\"doi\":\"10.1109/DDCLS52934.2021.9455367\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the dynamic behavior of a new type of hyper-chaotic system and use the method of time delay control to achieve the purpose of the control system. This paper analyzes the stability and existence of the equilibrium point and discusses the cross-sectional conditions under which the balance point has Hopf bifurcation. Then we give the time delay value of the periodic solution generated by the system equilibrium point. Numerical examples are given to verify the theoretical results.\",\"PeriodicalId\":325897,\"journal\":{\"name\":\"2021 IEEE 10th Data Driven Control and Learning Systems Conference (DDCLS)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-05-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 IEEE 10th Data Driven Control and Learning Systems Conference (DDCLS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DDCLS52934.2021.9455367\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 IEEE 10th Data Driven Control and Learning Systems Conference (DDCLS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DDCLS52934.2021.9455367","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Time Delayed Feedback Control for a Class of Hyper-chaotic Systems
We study the dynamic behavior of a new type of hyper-chaotic system and use the method of time delay control to achieve the purpose of the control system. This paper analyzes the stability and existence of the equilibrium point and discusses the cross-sectional conditions under which the balance point has Hopf bifurcation. Then we give the time delay value of the periodic solution generated by the system equilibrium point. Numerical examples are given to verify the theoretical results.
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