Passivity and synchronization of coupled reaction-diffusion neural networks with multiple time-varying delays via impulsive control

Abstract This paper investigates the passivity and synchronization of multiple delayed coupled reaction–diffusion neural networks (MDCRDNNs) with different dimensions of output and input vectors by means of impulsive control. By introducing suitable Lyapunov functionals and employing some analytical techniques, sufficient conditionsare derived to guarantee the passivity and globally exponential synchronization of MDCRDNNs under impulsive control. Finally, three simulation examples are performed to illustrate the results.

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