{"title":"一类具有非线性扰动的时滞神经网络的稳定性分析","authors":"Ruliang Wang, Hong Lei, Jin Wang","doi":"10.1109/ICCSE.2009.5228504","DOIUrl":null,"url":null,"abstract":"In this paper, we consider a class of time-delay dynamical neural networks with nonlinear perturbation. The nonlinear perturbation functions are assumed bounded. we derive a robust stability criterion independent of delay. The sufficient criterion is given in terms of linear matrix inequality (LMI). The checking for robust stability of time-delay dynamical neural networks with nonlinear perturbation by our result can be carried out rather simply, and convenient for the application. The applicability of our results is demonstrated by means of a specific example.","PeriodicalId":303484,"journal":{"name":"2009 4th International Conference on Computer Science & Education","volume":"241 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability analysis for a class of delay neural networks with nonlinear perturbations\",\"authors\":\"Ruliang Wang, Hong Lei, Jin Wang\",\"doi\":\"10.1109/ICCSE.2009.5228504\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider a class of time-delay dynamical neural networks with nonlinear perturbation. The nonlinear perturbation functions are assumed bounded. we derive a robust stability criterion independent of delay. The sufficient criterion is given in terms of linear matrix inequality (LMI). The checking for robust stability of time-delay dynamical neural networks with nonlinear perturbation by our result can be carried out rather simply, and convenient for the application. The applicability of our results is demonstrated by means of a specific example.\",\"PeriodicalId\":303484,\"journal\":{\"name\":\"2009 4th International Conference on Computer Science & Education\",\"volume\":\"241 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 4th International Conference on Computer Science & Education\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCSE.2009.5228504\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 4th International Conference on Computer Science & Education","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCSE.2009.5228504","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability analysis for a class of delay neural networks with nonlinear perturbations
In this paper, we consider a class of time-delay dynamical neural networks with nonlinear perturbation. The nonlinear perturbation functions are assumed bounded. we derive a robust stability criterion independent of delay. The sufficient criterion is given in terms of linear matrix inequality (LMI). The checking for robust stability of time-delay dynamical neural networks with nonlinear perturbation by our result can be carried out rather simply, and convenient for the application. The applicability of our results is demonstrated by means of a specific example.