{"title":"时滞和马尔可夫切换随机Hopfield神经网络的指数稳定性","authors":"Li Wan","doi":"10.1109/ICNC.2009.231","DOIUrl":null,"url":null,"abstract":"The exponential stability for stochastic Hopfield neural networks with Markovian switching and delays is considered. The sufficient conditions are derived to guarantee the almost surely exponential stability and mean square exponential stability of a trivial solution.","PeriodicalId":235382,"journal":{"name":"2009 Fifth International Conference on Natural Computation","volume":"53 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Exponential Stability of Stochastic Hopfield Neural Networks with Delays and Markovian Switching\",\"authors\":\"Li Wan\",\"doi\":\"10.1109/ICNC.2009.231\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The exponential stability for stochastic Hopfield neural networks with Markovian switching and delays is considered. The sufficient conditions are derived to guarantee the almost surely exponential stability and mean square exponential stability of a trivial solution.\",\"PeriodicalId\":235382,\"journal\":{\"name\":\"2009 Fifth International Conference on Natural Computation\",\"volume\":\"53 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 Fifth International Conference on Natural Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICNC.2009.231\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 Fifth International Conference on Natural Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNC.2009.231","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exponential Stability of Stochastic Hopfield Neural Networks with Delays and Markovian Switching
The exponential stability for stochastic Hopfield neural networks with Markovian switching and delays is considered. The sufficient conditions are derived to guarantee the almost surely exponential stability and mean square exponential stability of a trivial solution.