Global μ-synchronization of impulsive complex-valued neural networks with leakage delay and mixed time-varying delays

In this paper, the problem on synchronization is investigated for a class of impulsive complex-valued neural networks with discrete and distributed time-varying delays as well as leakage delay. By constructing appropriate Lyapunov-Krasovskii functional, and using Newton-Leibniz formulation, inequality technique and free-weighting matrix method, several sufficient criteria to guarantee the global μ-synchronization are derived for the considered impulsive complex-valued neural networks. The provided conditions are expressed in terms of linear matrix inequalities, and are dependent on the sizes of discrete delays, distributed delays and leakage delay. An example with simulations is provided to verify the effectiveness of the obtained results.