{"title":"神经网络在集选择问题求解中的数学分析","authors":"C. Jeffries","doi":"10.1109/ISIC.1988.65512","DOIUrl":null,"url":null,"abstract":"The generalized neural network model of M. Cohen and S. Grossberg (1983) has been studied by many authors using Lyapunov-type functions. As an alternative, the author treats closely related dynamical systems (the gain functions are piecewise linear) with other dynamical-systems-theory machinery. It is shown that, by using a certain perturbation scheme, one can use such models with piecewise linear gain functions to solve a variety of set selection problems.<<ETX>>","PeriodicalId":155616,"journal":{"name":"Proceedings IEEE International Symposium on Intelligent Control 1988","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Mathematical analysis of neural networks used in the solution of set selection problems\",\"authors\":\"C. Jeffries\",\"doi\":\"10.1109/ISIC.1988.65512\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The generalized neural network model of M. Cohen and S. Grossberg (1983) has been studied by many authors using Lyapunov-type functions. As an alternative, the author treats closely related dynamical systems (the gain functions are piecewise linear) with other dynamical-systems-theory machinery. It is shown that, by using a certain perturbation scheme, one can use such models with piecewise linear gain functions to solve a variety of set selection problems.<<ETX>>\",\"PeriodicalId\":155616,\"journal\":{\"name\":\"Proceedings IEEE International Symposium on Intelligent Control 1988\",\"volume\":\"48 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-08-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings IEEE International Symposium on Intelligent Control 1988\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIC.1988.65512\",\"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 IEEE International Symposium on Intelligent Control 1988","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIC.1988.65512","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
摘要
M. Cohen和S. Grossberg(1983)的广义神经网络模型已经被许多作者使用lyapunov型函数进行了研究。作为一种选择,作者将密切相关的动力系统(增益函数是分段线性的)与其他动力系统理论机制一起处理。结果表明,通过使用一定的扰动格式,可以使用这种具有分段线性增益函数的模型来解决各种集选择问题
Mathematical analysis of neural networks used in the solution of set selection problems
The generalized neural network model of M. Cohen and S. Grossberg (1983) has been studied by many authors using Lyapunov-type functions. As an alternative, the author treats closely related dynamical systems (the gain functions are piecewise linear) with other dynamical-systems-theory machinery. It is shown that, by using a certain perturbation scheme, one can use such models with piecewise linear gain functions to solve a variety of set selection problems.<>