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Synchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive control

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dc.contributor.authorXie, Xiang
dc.contributor.authorLiu, Xinzhi
dc.contributor.authorXu, Honglei
dc.contributor.authorLuo, Xiaobing
dc.contributor.authorLiu, Genfan
dc.date.accessioned2020-05-21T18:32:14Z
dc.date.available2020-05-21T18:32:14Z
dc.date.issued2019-12
dc.descriptionThe final publication is available at Elsevier via https://doi.org/10.1016/j.cnsns.2019.104905. © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.description.abstractThis paper studies the synchronization problem of coupled reaction-diffusion neural networks with time-varying delays. A novel pinning impulsive controller is proposed, where distributed delays and discrete delays are taken into account, respectively. By using the Lyapunov–Krasovskii method, the relations among impulsive gains, pinned node numbers, impulsive intervals, impulsive instants and time delays are derived. Exponential synchronization criteria are established for the delayed coupled reaction-diffusion neural networks. Our results show that synchronization of the neural networks can be achieved by controlling a small portion of nodes in the networks via delayed impulses. Numerical examples are provided to demonstrate the effectiveness of the theoretical results.en
dc.description.sponsorshipThis work was supported in part by the China Scholarship Council, the Australian Research Council under Grant DP160102819, the NSERC Canada, and the National Natural Science Foundation of China under Grant No.51625601.en
dc.identifier.urihttps://doi.org/10.1016/j.cnsns.2019.104905
dc.identifier.urihttp://hdl.handle.net/10012/15899
dc.language.isoenen
dc.publisherElsevieren
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectimpulsive controlen
dc.subjectneural networken
dc.subjectpinning controlen
dc.subjectreaction-diffusionen
dc.titleSynchronization of coupled reaction-diffusion neural networks: Delay-dependent pinning impulsive controlen
dc.typeArticleen
dcterms.bibliographicCitationchronization of Coupled Reaction-Diffusion Neural Networks: Delay-Dependent Pinning Impul- sive Control, Communications in Nonlinear Science and Numerical Simulation (2019), doi: https://doi.org/10.1016/j.cnsns.2019.104905en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Applied Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.typeOfResourceTexten

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