Global synchronization of weighted cellular neural network with time-varying coupling delays

New sufficient conditions are derived to guarantee the global synchronization of the weighted cellular neural network with multiple time delays. Based on Lyapunov theory, this paper proposes an adaptive feedback controlling method to identify the exact topology of a rather general weighted cellular neural network system with time-varying delays and then considers the synchronization of the neural network with different nodes dynamics. The parameters in this paper are very few and experiments show that the methods presented in this paper are of high application in global synchronization.

► The global synchronization of the modified weighted cellular neural network is proposed. ► The network made up of n identical nodes with multiple coupling delays is considered. ► The synchronization of the network with different nodes dynamics is identified. ► Numerical simulations will verify the correctness of article’s theorem.