{"title":"Optimal chaotic synchronization of stochastic delayed recurrent neural networks","authors":"Ziqian Liu","doi":"10.1109/SPMB.2013.6736775","DOIUrl":null,"url":null,"abstract":"This paper presents a theoretical design of how an optimal synchronization is achieved for stochastic delayed recurrent neural networks. According to the concept of drive-response, a control method is developed to guarantee that the chaotic drive network synchronizes with the chaotic response network influenced by uncertain noise signals. The formulation of a nonlinear optimal control law is rigorously derived by using Lyapunov technique and solving a Hamilton-Jacobi-Bellman (HJB) equation. To verify the analytical results, a numerical example is given to demonstrate the effectiveness of the proposed approach, which is simple and easy to implement in reality.","PeriodicalId":182231,"journal":{"name":"2013 IEEE Signal Processing in Medicine and Biology Symposium (SPMB)","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 IEEE Signal Processing in Medicine and Biology Symposium (SPMB)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SPMB.2013.6736775","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper presents a theoretical design of how an optimal synchronization is achieved for stochastic delayed recurrent neural networks. According to the concept of drive-response, a control method is developed to guarantee that the chaotic drive network synchronizes with the chaotic response network influenced by uncertain noise signals. The formulation of a nonlinear optimal control law is rigorously derived by using Lyapunov technique and solving a Hamilton-Jacobi-Bellman (HJB) equation. To verify the analytical results, a numerical example is given to demonstrate the effectiveness of the proposed approach, which is simple and easy to implement in reality.