{"title":"基于正定矩阵的Hopfield型神经网络系统稳定性的几个新判据","authors":"Feng Liu, Jiangshu Wang","doi":"10.1109/WCICA.2006.1712852","DOIUrl":null,"url":null,"abstract":"Stability of Hopfield type neural network systems is an important research problem, many articles have rather thoroughly researched it, and some new criterions have been established based on M matrix and positive definite matrix or negative definite matrix. In this paper, subpositive definite matrices (subnegative definite matrix) are led into Hopfield type neural network systems, and under relatively weak condition, another new criterions are acquired","PeriodicalId":375135,"journal":{"name":"2006 6th World Congress on Intelligent Control and Automation","volume":"113 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Some New Criterions for Stability of Hopfield Type Neural Network Systems Based on Subpositive Definite Matrices\",\"authors\":\"Feng Liu, Jiangshu Wang\",\"doi\":\"10.1109/WCICA.2006.1712852\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Stability of Hopfield type neural network systems is an important research problem, many articles have rather thoroughly researched it, and some new criterions have been established based on M matrix and positive definite matrix or negative definite matrix. In this paper, subpositive definite matrices (subnegative definite matrix) are led into Hopfield type neural network systems, and under relatively weak condition, another new criterions are acquired\",\"PeriodicalId\":375135,\"journal\":{\"name\":\"2006 6th World Congress on Intelligent Control and Automation\",\"volume\":\"113 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-10-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 6th World Congress on Intelligent Control and Automation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WCICA.2006.1712852\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 6th World Congress on Intelligent Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WCICA.2006.1712852","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some New Criterions for Stability of Hopfield Type Neural Network Systems Based on Subpositive Definite Matrices
Stability of Hopfield type neural network systems is an important research problem, many articles have rather thoroughly researched it, and some new criterions have been established based on M matrix and positive definite matrix or negative definite matrix. In this paper, subpositive definite matrices (subnegative definite matrix) are led into Hopfield type neural network systems, and under relatively weak condition, another new criterions are acquired