{"title":"莱维噪声驱动的延迟神经网络的随机固定时间同步","authors":"Chao Li , Xiaofeng Xu , Ming Liu","doi":"10.1016/j.sysconle.2024.105839","DOIUrl":null,"url":null,"abstract":"<div><p>This paper focuses on the fixed-time synchronization of stochastic cellular neural networks (SCNNs) via mixed delays. The stochastic disturbances we considered in SCNNs include not only white noise but also Lévy noise firstly. By utilizing inequality and Lyapunov theory , new criteria ensuring fixed-time synchronization of SCNNs driven by Lévy noise are established. The estimation formula of settling time differs from those discovered in previous literature. Besides, the fixed-time synchronization of SCNNs via Lévy noise has been discussed by using a new theorem by designing appropriate control strategies, and adequate conditions are attained to realize the fixed-time synchronization of SCNNs. In the end, a numerical example is provided to illustrate the validity of the results we proved.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"190 ","pages":"Article 105839"},"PeriodicalIF":2.1000,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The stochastic fixed-time synchronization of delays neural networks driven by Lévy noise\",\"authors\":\"Chao Li , Xiaofeng Xu , Ming Liu\",\"doi\":\"10.1016/j.sysconle.2024.105839\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper focuses on the fixed-time synchronization of stochastic cellular neural networks (SCNNs) via mixed delays. The stochastic disturbances we considered in SCNNs include not only white noise but also Lévy noise firstly. By utilizing inequality and Lyapunov theory , new criteria ensuring fixed-time synchronization of SCNNs driven by Lévy noise are established. The estimation formula of settling time differs from those discovered in previous literature. Besides, the fixed-time synchronization of SCNNs via Lévy noise has been discussed by using a new theorem by designing appropriate control strategies, and adequate conditions are attained to realize the fixed-time synchronization of SCNNs. In the end, a numerical example is provided to illustrate the validity of the results we proved.</p></div>\",\"PeriodicalId\":49450,\"journal\":{\"name\":\"Systems & Control Letters\",\"volume\":\"190 \",\"pages\":\"Article 105839\"},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2024-06-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Systems & Control Letters\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0167691124001270\",\"RegionNum\":3,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems & Control Letters","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167691124001270","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
The stochastic fixed-time synchronization of delays neural networks driven by Lévy noise
This paper focuses on the fixed-time synchronization of stochastic cellular neural networks (SCNNs) via mixed delays. The stochastic disturbances we considered in SCNNs include not only white noise but also Lévy noise firstly. By utilizing inequality and Lyapunov theory , new criteria ensuring fixed-time synchronization of SCNNs driven by Lévy noise are established. The estimation formula of settling time differs from those discovered in previous literature. Besides, the fixed-time synchronization of SCNNs via Lévy noise has been discussed by using a new theorem by designing appropriate control strategies, and adequate conditions are attained to realize the fixed-time synchronization of SCNNs. In the end, a numerical example is provided to illustrate the validity of the results we proved.
期刊介绍：
Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.
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