Almost sure adaptive asymptotically synchronization for neutral-type multi-slave neural networks with Markovian jumping parameters and stochastic perturbation

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• 作者：Jun Zhou^a ; ^dAuthor Vitae ; Xiangwu Ding^b ; Author Vitae ; Liuwei Zhou^a ; Author Vitae ; Wuneng Zhou^a ; ^{zhouwuneng@163.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Jun Yang^cAuthor Vitae ; Dongbing Tong^eAuthor Vitae
• 关键词：Multi-slave system ; Adaptive synchronization ; M-matrix ; Stochastic perturbation ; Markovian switching
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：19 November 2016
• 年：2016
• 卷：214
• 期：Complete
• 页码：44-52
• 全文大小：882 K

文摘

In this paper, the problem of adaptive synchronization for time-delay neutral-type multi-slave neural networks with Markovian jumping parameters and stochastic noise is researched. The adaptive synchronization model which contains a drive system and multiple response systems is presented. By using of the generalized class="mathmlsrc">title="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0925231216304982&_mathId=si0001.gif&_user=111111111&_pii=S0925231216304982&_rdoc=1&_issn=09252312&md5=b6ecd5051ec3cc894666806d7ac30547">class="imgLazyJSB inlineImage" height="12" width="18" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0925231216304982-si0001.gif">class="mathContainer hidden">class="mathCode">$\mathrm{It}\widehat{\mathrm{o}}\mathrm{’}\mathrm{s}$ formula and the M-matrix method, the sufficient condition is obtained to guarantee that the error control system is stable, and the update law of the feedback controller is designed to ensure that every slave system synchronizes with master system. Finally, a numerical example is given to illustrate the effectiveness of the method and result obtained in this paper.