{"title":"具有时变时滞的中性型随机神经网络的鲁棒稳定性","authors":"Yangzheng Zeng, Lilan Tu, Guojun Liu","doi":"10.1109/ICNC.2012.6234565","DOIUrl":null,"url":null,"abstract":"This paper focuses on the global delay-dependent robust asymptotic stability of stochastic neural networks of neutral type with time-varying delays. The delay functions of networks under consideration are bounded but not necessarily differentiable. Based on the stochastic Lyapunov stability theory, itÔ's differential rule and linear matrix inequality (LMI) optimization technique, a delay-dependent asymptotic stability criterion is derived. Finally, an illustrative example is given to show the effectiveness and feasibility of the proposed method.","PeriodicalId":404981,"journal":{"name":"2012 8th International Conference on Natural Computation","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Robust stability of stochastic neural networks of neutral type with time-varying delays\",\"authors\":\"Yangzheng Zeng, Lilan Tu, Guojun Liu\",\"doi\":\"10.1109/ICNC.2012.6234565\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper focuses on the global delay-dependent robust asymptotic stability of stochastic neural networks of neutral type with time-varying delays. The delay functions of networks under consideration are bounded but not necessarily differentiable. Based on the stochastic Lyapunov stability theory, itÔ's differential rule and linear matrix inequality (LMI) optimization technique, a delay-dependent asymptotic stability criterion is derived. Finally, an illustrative example is given to show the effectiveness and feasibility of the proposed method.\",\"PeriodicalId\":404981,\"journal\":{\"name\":\"2012 8th International Conference on Natural Computation\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-05-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 8th International Conference on Natural Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICNC.2012.6234565\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 8th International Conference on Natural Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNC.2012.6234565","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Robust stability of stochastic neural networks of neutral type with time-varying delays
This paper focuses on the global delay-dependent robust asymptotic stability of stochastic neural networks of neutral type with time-varying delays. The delay functions of networks under consideration are bounded but not necessarily differentiable. Based on the stochastic Lyapunov stability theory, itÔ's differential rule and linear matrix inequality (LMI) optimization technique, a delay-dependent asymptotic stability criterion is derived. Finally, an illustrative example is given to show the effectiveness and feasibility of the proposed method.