Pinning control for passivity and synchronization of coupled memristive reaction-diffusion neural networks with time-varying delay

Abstract This paper studies the passivity and synchronization problems of delayed coupled memristive reaction–diffusion neural networks (CMRDNNs) by utilizing two pinning control schemes, respectively. Firstly, a nodes-based controller is added to the delayed coupled memristive reaction–diffusion neural network model, and some sufficient conditions are derived to ensure the passivity and synchronization of the presented network through constructing appropriate Lyapunov functionals. Additionally, with the help of an edges-based pinning adaptive strategy and inequality techniques, several passivity criteria are further established. Moreover, a similar pinning control method is employed in order to guarantee the synchronization of delayed CMRDNNs. Eventually, two examples are provided to confirm the validity of the obtained results.

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