{"title":"L/sub 2/范数下具有反应扩散项的Hopfield神经网络稳态解的指数稳定性","authors":"Xinquan Zhao, Lun Zhou, X. Liao","doi":"10.1109/ICONIP.2002.1202795","DOIUrl":null,"url":null,"abstract":"In this paper, local asymptotic stability and global asymptotic stability of the steady state solutions of Hopfield neural networks with reaction-diffusion terms are investigated. Under the L/sub 2/ norm, applying the differential inequality some sufficiency criterions for local exponential stability and global exponential stability of the steady state solution of system are established.","PeriodicalId":146553,"journal":{"name":"Proceedings of the 9th International Conference on Neural Information Processing, 2002. ICONIP '02.","volume":"84 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Exponential stability of the steady state solution of Hopfield neural networks with reaction-diffusion terms under the L/sub 2/ norm\",\"authors\":\"Xinquan Zhao, Lun Zhou, X. Liao\",\"doi\":\"10.1109/ICONIP.2002.1202795\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, local asymptotic stability and global asymptotic stability of the steady state solutions of Hopfield neural networks with reaction-diffusion terms are investigated. Under the L/sub 2/ norm, applying the differential inequality some sufficiency criterions for local exponential stability and global exponential stability of the steady state solution of system are established.\",\"PeriodicalId\":146553,\"journal\":{\"name\":\"Proceedings of the 9th International Conference on Neural Information Processing, 2002. ICONIP '02.\",\"volume\":\"84 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-11-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 9th International Conference on Neural Information Processing, 2002. ICONIP '02.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICONIP.2002.1202795\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 9th International Conference on Neural Information Processing, 2002. ICONIP '02.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICONIP.2002.1202795","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exponential stability of the steady state solution of Hopfield neural networks with reaction-diffusion terms under the L/sub 2/ norm
In this paper, local asymptotic stability and global asymptotic stability of the steady state solutions of Hopfield neural networks with reaction-diffusion terms are investigated. Under the L/sub 2/ norm, applying the differential inequality some sufficiency criterions for local exponential stability and global exponential stability of the steady state solution of system are established.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
