{"title":"非对称细胞神经网络存在稳定平衡点的充分条件","authors":"S. Arik, V. Tavsanoglu","doi":"10.1109/CNNA.1998.685333","DOIUrl":null,"url":null,"abstract":"We obtain a new sufficient condition for the existence of a stable equilibrium point in the total saturation region for nonsymmetric cellular neural networks (CNNs). It is shown that if the sum of the elements of each row of the feedback matrix is greater than one, a nonsymmetric CNN possesses a stable equilibrium point in the total saturation region.","PeriodicalId":171485,"journal":{"name":"1998 Fifth IEEE International Workshop on Cellular Neural Networks and their Applications. Proceedings (Cat. No.98TH8359)","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"A sufficient condition for the existence of a stable equilibrium point in nonsymmetric cellular neural networks\",\"authors\":\"S. Arik, V. Tavsanoglu\",\"doi\":\"10.1109/CNNA.1998.685333\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We obtain a new sufficient condition for the existence of a stable equilibrium point in the total saturation region for nonsymmetric cellular neural networks (CNNs). It is shown that if the sum of the elements of each row of the feedback matrix is greater than one, a nonsymmetric CNN possesses a stable equilibrium point in the total saturation region.\",\"PeriodicalId\":171485,\"journal\":{\"name\":\"1998 Fifth IEEE International Workshop on Cellular Neural Networks and their Applications. Proceedings (Cat. No.98TH8359)\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-04-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1998 Fifth IEEE International Workshop on Cellular Neural Networks and their Applications. Proceedings (Cat. No.98TH8359)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CNNA.1998.685333\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1998 Fifth IEEE International Workshop on Cellular Neural Networks and their Applications. Proceedings (Cat. No.98TH8359)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CNNA.1998.685333","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A sufficient condition for the existence of a stable equilibrium point in nonsymmetric cellular neural networks
We obtain a new sufficient condition for the existence of a stable equilibrium point in the total saturation region for nonsymmetric cellular neural networks (CNNs). It is shown that if the sum of the elements of each row of the feedback matrix is greater than one, a nonsymmetric CNN possesses a stable equilibrium point in the total saturation region.