{"title":"时变时滞n -耦合Hindmarsh-Rose神经元模型的同步","authors":"Sourav K. Bhowmick, S. Panja","doi":"10.1109/INDICON.2017.8487581","DOIUrl":null,"url":null,"abstract":"This paper dwells upon the synchronization phenomena in Hindmarsh-Rose (HR) neuron model of $N$ number of neurons with time-varying communication delays between them. By considering a suitable Lyapunov-Krasovskii (L-K) functional, the synchronization criteria is obtained in terms of linear matrix inequality (LMI) for asymptotically stabilizing the error dynamics between the master-slave neuron configuration. The effectiveness of the proposed method is established through the numerical simulations of the neuron model.","PeriodicalId":263943,"journal":{"name":"2017 14th IEEE India Council International Conference (INDICON)","volume":"94 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Synchronization of N-Coupled Hindmarsh-Rose Neuron Model with Time-Varying Delays\",\"authors\":\"Sourav K. Bhowmick, S. Panja\",\"doi\":\"10.1109/INDICON.2017.8487581\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper dwells upon the synchronization phenomena in Hindmarsh-Rose (HR) neuron model of $N$ number of neurons with time-varying communication delays between them. By considering a suitable Lyapunov-Krasovskii (L-K) functional, the synchronization criteria is obtained in terms of linear matrix inequality (LMI) for asymptotically stabilizing the error dynamics between the master-slave neuron configuration. The effectiveness of the proposed method is established through the numerical simulations of the neuron model.\",\"PeriodicalId\":263943,\"journal\":{\"name\":\"2017 14th IEEE India Council International Conference (INDICON)\",\"volume\":\"94 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 14th IEEE India Council International Conference (INDICON)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/INDICON.2017.8487581\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 14th IEEE India Council International Conference (INDICON)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/INDICON.2017.8487581","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Synchronization of N-Coupled Hindmarsh-Rose Neuron Model with Time-Varying Delays
This paper dwells upon the synchronization phenomena in Hindmarsh-Rose (HR) neuron model of $N$ number of neurons with time-varying communication delays between them. By considering a suitable Lyapunov-Krasovskii (L-K) functional, the synchronization criteria is obtained in terms of linear matrix inequality (LMI) for asymptotically stabilizing the error dynamics between the master-slave neuron configuration. The effectiveness of the proposed method is established through the numerical simulations of the neuron model.
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