Abstract

This paper discusses the global power synchronization of a class of coupled neural networks with proportional delay and impulsive effects. By constructing Lyapunov functionals and introducing a new concept named “log average impulsive interval”, a unified global power synchronization criterion is derived for the addressed impulsive complex networks, which is simultaneously effective for synchronizing impulses and desynchronizing impulses. Based on a known impulsive delay inequality involving proportional delay, suitable impulsive controllers are also designed to globally power synchronize complex dynamical networks with proportional delay. The conditions are represented as linear matrix inequalities, and so they are convenient and feasible in practical problems. Two illustrative numerical examples are provided to demonstrate the effectiveness of the theoretical results.

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