Synchronization of complex networks with memristive neural network nodes via impulsive control

This paper is concerned with the issue for the exponential synchronization of complex networks. Considering the excellent approximation ability of the memristive neural network, the dynamic of each node in complex networks is approximated by a memristive neural network. Compared with exiting papers concerning with impulsive synchronization control of complex networks, a new kind of impulsive controller, in which the possible impulsive controller gain fluctuation is taken into consideration, is designed. Based on the time-varying Lyapunov functional approach, a sufficient condition is derived to guarantee the synchronization of complex networks. Finally, a numerical example is provided to demonstrate the effectiveness of the theoretical result.