{"title":"给定收敛速率下脉冲神经网络的全局指数稳定性","authors":"Chengyan Liu, Xiaodi Li, Xilin Fu","doi":"10.1155/2013/908602","DOIUrl":null,"url":null,"abstract":"This paper deals with the stability problem for a class of impulsive neural networks. Some sufficient conditions which can guarantee the globally exponential stability of the addressed models with given convergence rate are derived by using Lyapunov function and impulsive analysis techniques. Finally, an example is given to show the effectiveness of the obtained results.","PeriodicalId":7288,"journal":{"name":"Adv. Artif. Neural Syst.","volume":"263 1","pages":"908602:1-908602:5"},"PeriodicalIF":0.0000,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Globally Exponential Stability of Impulsive Neural Networks with Given Convergence Rate\",\"authors\":\"Chengyan Liu, Xiaodi Li, Xilin Fu\",\"doi\":\"10.1155/2013/908602\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the stability problem for a class of impulsive neural networks. Some sufficient conditions which can guarantee the globally exponential stability of the addressed models with given convergence rate are derived by using Lyapunov function and impulsive analysis techniques. Finally, an example is given to show the effectiveness of the obtained results.\",\"PeriodicalId\":7288,\"journal\":{\"name\":\"Adv. Artif. Neural Syst.\",\"volume\":\"263 1\",\"pages\":\"908602:1-908602:5\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Adv. Artif. Neural Syst.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2013/908602\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Adv. Artif. Neural Syst.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2013/908602","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Globally Exponential Stability of Impulsive Neural Networks with Given Convergence Rate
This paper deals with the stability problem for a class of impulsive neural networks. Some sufficient conditions which can guarantee the globally exponential stability of the addressed models with given convergence rate are derived by using Lyapunov function and impulsive analysis techniques. Finally, an example is given to show the effectiveness of the obtained results.