{"title":"具有时变时滞和连续分布时滞的BAM细胞神经网络概周期解的存在性和指数稳定性","authors":"Ning Chen, Junyan Xu","doi":"10.1109/ICSSEM.2012.6340710","DOIUrl":null,"url":null,"abstract":"This paper consider a class of bidirectional associative memory (BAM) cellular neural networks with delays. By using the fixed point theorem and differential inequality techniques, some new sufficient conditions are established for the existence, uniqueness and global exponential stability of the almost periodic solutions. The obtained sufficient conditions are easy to verify and our results complement previously known results.","PeriodicalId":115037,"journal":{"name":"2012 3rd International Conference on System Science, Engineering Design and Manufacturing Informatization","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Existence and exponential stability of almost periodic solutions for BAM cellular neural networks with time-varying delays and continuously distributed delays\",\"authors\":\"Ning Chen, Junyan Xu\",\"doi\":\"10.1109/ICSSEM.2012.6340710\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper consider a class of bidirectional associative memory (BAM) cellular neural networks with delays. By using the fixed point theorem and differential inequality techniques, some new sufficient conditions are established for the existence, uniqueness and global exponential stability of the almost periodic solutions. The obtained sufficient conditions are easy to verify and our results complement previously known results.\",\"PeriodicalId\":115037,\"journal\":{\"name\":\"2012 3rd International Conference on System Science, Engineering Design and Manufacturing Informatization\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-11-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 3rd International Conference on System Science, Engineering Design and Manufacturing Informatization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICSSEM.2012.6340710\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 3rd International Conference on System Science, Engineering Design and Manufacturing Informatization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICSSEM.2012.6340710","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Existence and exponential stability of almost periodic solutions for BAM cellular neural networks with time-varying delays and continuously distributed delays
This paper consider a class of bidirectional associative memory (BAM) cellular neural networks with delays. By using the fixed point theorem and differential inequality techniques, some new sufficient conditions are established for the existence, uniqueness and global exponential stability of the almost periodic solutions. The obtained sufficient conditions are easy to verify and our results complement previously known results.