{"title":"具有逆Lipschitz激活和混合时滞的区间Cohen-Grossberg神经网络的指数稳定性","authors":"Sitian Qin, Xin Shi, Guofang Chen, Jing-Xue Xu","doi":"10.1109/ICICIP.2014.7010313","DOIUrl":null,"url":null,"abstract":"The exponential convergence of interval Cohen-Grossberg neural network is studied in this paper. The neural network considered in this paper has the inverse-Lipschitz continuous activation and mixed delays. Based on homomorphic method and Lyapunov stability theorem, the existence, uniqueness and exponential stability of the equilibrium point of the interval Cohen-Grossberg neural network are derived. Some comparisons and numerical examples are introduced to show the improvement of the conclusions in this paper.","PeriodicalId":408041,"journal":{"name":"Fifth International Conference on Intelligent Control and Information Processing","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Exponential stability of interval Cohen-Grossberg neural networks with inverse Lipschitz activation and mixed delays\",\"authors\":\"Sitian Qin, Xin Shi, Guofang Chen, Jing-Xue Xu\",\"doi\":\"10.1109/ICICIP.2014.7010313\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The exponential convergence of interval Cohen-Grossberg neural network is studied in this paper. The neural network considered in this paper has the inverse-Lipschitz continuous activation and mixed delays. Based on homomorphic method and Lyapunov stability theorem, the existence, uniqueness and exponential stability of the equilibrium point of the interval Cohen-Grossberg neural network are derived. Some comparisons and numerical examples are introduced to show the improvement of the conclusions in this paper.\",\"PeriodicalId\":408041,\"journal\":{\"name\":\"Fifth International Conference on Intelligent Control and Information Processing\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fifth International Conference on Intelligent Control and Information Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICICIP.2014.7010313\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fifth International Conference on Intelligent Control and Information Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIP.2014.7010313","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exponential stability of interval Cohen-Grossberg neural networks with inverse Lipschitz activation and mixed delays
The exponential convergence of interval Cohen-Grossberg neural network is studied in this paper. The neural network considered in this paper has the inverse-Lipschitz continuous activation and mixed delays. Based on homomorphic method and Lyapunov stability theorem, the existence, uniqueness and exponential stability of the equilibrium point of the interval Cohen-Grossberg neural network are derived. Some comparisons and numerical examples are introduced to show the improvement of the conclusions in this paper.