Passivity and synchronization of coupled reaction-diffusion complex-valued memristive neural networks

Huang, Yanli and Hou, Jie and Yang, Erfu (2020) Passivity and synchronization of coupled reaction-diffusion complex-valued memristive neural networks. Applied Mathematics and Computation, 379. 125271. ISSN 0096-3003 (https://doi.org/10.1016/j.amc.2020.125271)

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Abstract

This paper considers two types of coupled reaction-diffusion complex-valued memristive neural networks (CRDCVMNNs). The nodes of the first type CRDCVMNN are coupled through their state and the second one is coupled by spatial diffusion coupling term. For the former, some novel criteria for the passivity and synchronization are derived by constructing an appropriate controller and utilizing some inequality techniques as well as Lyapunov functional method. For the latter, we establish some sufficient conditions which guarantee that this type of CRDCVMNNs can realize passivity and synchronization. Finally, the effectiveness and correctness of the acquired theoretical results are verified by two numerical examples.

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