{"title":"时滞神经网络的全局指数稳定性","authors":"Z. Dongming, Cao Jinde","doi":"10.1109/ICOSP.1998.770863","DOIUrl":null,"url":null,"abstract":"This paper studies the problem of global exponential stability of the equilibrium of a class of neural networks with delays, by using the method of variation of constants and combining it with the method of inequality analysis. Sufficient conditions for global exponential stability of neural networks with delays are obtained, for which we do not require symmetry of the connection matrix and nonlinear properties for neural units to be continuously differentiable or strictly monotonically increasing. These conditions can be used to design globally stable neural networks.","PeriodicalId":145700,"journal":{"name":"ICSP '98. 1998 Fourth International Conference on Signal Processing (Cat. No.98TH8344)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global exponential stability in neural network with delays\",\"authors\":\"Z. Dongming, Cao Jinde\",\"doi\":\"10.1109/ICOSP.1998.770863\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper studies the problem of global exponential stability of the equilibrium of a class of neural networks with delays, by using the method of variation of constants and combining it with the method of inequality analysis. Sufficient conditions for global exponential stability of neural networks with delays are obtained, for which we do not require symmetry of the connection matrix and nonlinear properties for neural units to be continuously differentiable or strictly monotonically increasing. These conditions can be used to design globally stable neural networks.\",\"PeriodicalId\":145700,\"journal\":{\"name\":\"ICSP '98. 1998 Fourth International Conference on Signal Processing (Cat. No.98TH8344)\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-10-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ICSP '98. 1998 Fourth International Conference on Signal Processing (Cat. No.98TH8344)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICOSP.1998.770863\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ICSP '98. 1998 Fourth International Conference on Signal Processing (Cat. No.98TH8344)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICOSP.1998.770863","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Global exponential stability in neural network with delays
This paper studies the problem of global exponential stability of the equilibrium of a class of neural networks with delays, by using the method of variation of constants and combining it with the method of inequality analysis. Sufficient conditions for global exponential stability of neural networks with delays are obtained, for which we do not require symmetry of the connection matrix and nonlinear properties for neural units to be continuously differentiable or strictly monotonically increasing. These conditions can be used to design globally stable neural networks.