{"title":"具有脉冲效应的中立型混沌马尔可夫神经网络的随机同步","authors":"Chengde Zheng, Xixi Lv","doi":"10.11591/TELKOMNIKA.V12I7.5505","DOIUrl":null,"url":null,"abstract":"This paper studies the globally stochastic synchronization problem for a class of neutral-type chaotic neural networks with Markovian jumping parameters under impulsive perturbations. By virtue of drive-response concept and time-delay feedback control techniques, by using the Lyapunov functional method, Jensen integral inequality, a novel reciprocal convex lemma and the free-weight matrix method, a novel sufficient condition is derived to ensure the asymptotic synchronization of two identical Markovian jumping chaotic delayed neural networks with impulsive perturbation. The proposed results, which do not require the differentiability and monotonicity of the activation functions, can be easily checked via Matlab software. Finally, a numerical example with their simulations is provided to illustrate the effectiveness of the presented synchronization scheme.","PeriodicalId":414053,"journal":{"name":"TELKOMNIKA : Indonesian Journal of Electrical Engineering","volume":"168-169 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stochastic Synchronization of Neutral-Type Chaotic Markovian Neural Networks with Impulsive Effects\",\"authors\":\"Chengde Zheng, Xixi Lv\",\"doi\":\"10.11591/TELKOMNIKA.V12I7.5505\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper studies the globally stochastic synchronization problem for a class of neutral-type chaotic neural networks with Markovian jumping parameters under impulsive perturbations. By virtue of drive-response concept and time-delay feedback control techniques, by using the Lyapunov functional method, Jensen integral inequality, a novel reciprocal convex lemma and the free-weight matrix method, a novel sufficient condition is derived to ensure the asymptotic synchronization of two identical Markovian jumping chaotic delayed neural networks with impulsive perturbation. The proposed results, which do not require the differentiability and monotonicity of the activation functions, can be easily checked via Matlab software. Finally, a numerical example with their simulations is provided to illustrate the effectiveness of the presented synchronization scheme.\",\"PeriodicalId\":414053,\"journal\":{\"name\":\"TELKOMNIKA : Indonesian Journal of Electrical Engineering\",\"volume\":\"168-169 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"TELKOMNIKA : Indonesian Journal of Electrical Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.11591/TELKOMNIKA.V12I7.5505\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"TELKOMNIKA : Indonesian Journal of Electrical Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11591/TELKOMNIKA.V12I7.5505","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stochastic Synchronization of Neutral-Type Chaotic Markovian Neural Networks with Impulsive Effects
This paper studies the globally stochastic synchronization problem for a class of neutral-type chaotic neural networks with Markovian jumping parameters under impulsive perturbations. By virtue of drive-response concept and time-delay feedback control techniques, by using the Lyapunov functional method, Jensen integral inequality, a novel reciprocal convex lemma and the free-weight matrix method, a novel sufficient condition is derived to ensure the asymptotic synchronization of two identical Markovian jumping chaotic delayed neural networks with impulsive perturbation. The proposed results, which do not require the differentiability and monotonicity of the activation functions, can be easily checked via Matlab software. Finally, a numerical example with their simulations is provided to illustrate the effectiveness of the presented synchronization scheme.