{"title":"基于lmi的延迟耦合FitzHugh-Nagumo网络同步准则","authors":"Qunjiao Zhang, Yao-bin Wei","doi":"10.1109/ICICIP.2015.7388164","DOIUrl":null,"url":null,"abstract":"In this paper, the synchronization for networks of multi-coupled FitzHugh-Nagumo neurons with delayed coupling is investigated. Based on Lyapunov method and linear matrix inequality (LMI) technique, some new sufficient conditions are obtained for the asymptotic stability of the error dynamical networks. The derived theorems are more general than many existing results for two or three coupled neurons. Furthermore, two numerical simulation examples are given to illustrate the effectiveness of our presented theoretical results.","PeriodicalId":265426,"journal":{"name":"2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"LMI-based synchronization criteria for FitzHugh-Nagumo networks with delayed coupling\",\"authors\":\"Qunjiao Zhang, Yao-bin Wei\",\"doi\":\"10.1109/ICICIP.2015.7388164\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the synchronization for networks of multi-coupled FitzHugh-Nagumo neurons with delayed coupling is investigated. Based on Lyapunov method and linear matrix inequality (LMI) technique, some new sufficient conditions are obtained for the asymptotic stability of the error dynamical networks. The derived theorems are more general than many existing results for two or three coupled neurons. Furthermore, two numerical simulation examples are given to illustrate the effectiveness of our presented theoretical results.\",\"PeriodicalId\":265426,\"journal\":{\"name\":\"2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICICIP.2015.7388164\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIP.2015.7388164","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
LMI-based synchronization criteria for FitzHugh-Nagumo networks with delayed coupling
In this paper, the synchronization for networks of multi-coupled FitzHugh-Nagumo neurons with delayed coupling is investigated. Based on Lyapunov method and linear matrix inequality (LMI) technique, some new sufficient conditions are obtained for the asymptotic stability of the error dynamical networks. The derived theorems are more general than many existing results for two or three coupled neurons. Furthermore, two numerical simulation examples are given to illustrate the effectiveness of our presented theoretical results.