{"title":"具有无界时变时滞的不确定忆阻器递归神经网络的全局指数稳定性","authors":"Yingying Dong, Jianmin Wang","doi":"10.1109/icaci55529.2022.9837571","DOIUrl":null,"url":null,"abstract":"This paper studies the globally exponential stability of the equilibrium point for uncertain memristor-based recurrent neural networks (MRNN) with unbounded time-varying delay. The MRNN in this paper is the extension of classical MRNN since the uncertain factors and unbounded time-varying delay are considered. Under some assumptions for the MRNN, the equilibrium point of MRNN is proved to be globally exponentially stable by the Lyapunov method. A numerical experiment is performed to show the proposed result.","PeriodicalId":412347,"journal":{"name":"2022 14th International Conference on Advanced Computational Intelligence (ICACI)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Globally Exponential Stability of Uncertain Memristor-based Recurrent Neural Networks with Unbounded Time-varying Delays\",\"authors\":\"Yingying Dong, Jianmin Wang\",\"doi\":\"10.1109/icaci55529.2022.9837571\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper studies the globally exponential stability of the equilibrium point for uncertain memristor-based recurrent neural networks (MRNN) with unbounded time-varying delay. The MRNN in this paper is the extension of classical MRNN since the uncertain factors and unbounded time-varying delay are considered. Under some assumptions for the MRNN, the equilibrium point of MRNN is proved to be globally exponentially stable by the Lyapunov method. A numerical experiment is performed to show the proposed result.\",\"PeriodicalId\":412347,\"journal\":{\"name\":\"2022 14th International Conference on Advanced Computational Intelligence (ICACI)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-07-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 14th International Conference on Advanced Computational Intelligence (ICACI)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/icaci55529.2022.9837571\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 14th International Conference on Advanced Computational Intelligence (ICACI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/icaci55529.2022.9837571","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Globally Exponential Stability of Uncertain Memristor-based Recurrent Neural Networks with Unbounded Time-varying Delays
This paper studies the globally exponential stability of the equilibrium point for uncertain memristor-based recurrent neural networks (MRNN) with unbounded time-varying delay. The MRNN in this paper is the extension of classical MRNN since the uncertain factors and unbounded time-varying delay are considered. Under some assumptions for the MRNN, the equilibrium point of MRNN is proved to be globally exponentially stable by the Lyapunov method. A numerical experiment is performed to show the proposed result.