{"title":"脉冲Hopfield神经网络的概周期模型","authors":"G. Stamov","doi":"10.1215/KJM/1248983029","DOIUrl":null,"url":null,"abstract":"In the present paper the problems of existence and uniqueness of almost periodic solutions for impulsive Hopfield neural networks are considered. The impulses are in fixed moments of time and by using the technique of estimation of the Cauchy�s matrix new sufficient conditions for the exponential stability of the unique almost periodic solution of such systems are given.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"57-67"},"PeriodicalIF":0.0000,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1248983029","citationCount":"16","resultStr":"{\"title\":\"Almost periodic models of impulsive Hopfield neural networks\",\"authors\":\"G. Stamov\",\"doi\":\"10.1215/KJM/1248983029\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper the problems of existence and uniqueness of almost periodic solutions for impulsive Hopfield neural networks are considered. The impulses are in fixed moments of time and by using the technique of estimation of the Cauchy�s matrix new sufficient conditions for the exponential stability of the unique almost periodic solution of such systems are given.\",\"PeriodicalId\":50142,\"journal\":{\"name\":\"Journal of Mathematics of Kyoto University\",\"volume\":\"49 1\",\"pages\":\"57-67\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1215/KJM/1248983029\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics of Kyoto University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1215/KJM/1248983029\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics of Kyoto University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1215/KJM/1248983029","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
Almost periodic models of impulsive Hopfield neural networks
In the present paper the problems of existence and uniqueness of almost periodic solutions for impulsive Hopfield neural networks are considered. The impulses are in fixed moments of time and by using the technique of estimation of the Cauchy�s matrix new sufficient conditions for the exponential stability of the unique almost periodic solution of such systems are given.
期刊介绍：
Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
