Robust impulsive synchronization of uncertain delayed dynamical networks

The present paper deals with the issues of robust impulsive synchronization of uncertain complex delayed dynamical networks from the view of dynamics and control. The prime characteristic of the model considered here is that the coupling functions can be linear or nonlinear, even unknown, which can well describe practical architectures of more realistic networks. Based on impulsive stability theory on delayed dynamical systems, some simple but less conservative criteria are derived for synchronization of such dynamical network. Furthermore, the theoretical results are applied to a typical specific network composing of the representative chaotic delayed Hopfield neural network nodes, and numerical simulations are given to verify the theoretical results.