Finite-time synchronization of the complex dynamical network with non-derivative and derivative coupling

This paper is concerned with finite-time synchronization for a class of the complex dynamical network with non-derivative and derivative coupling. Different from the existing related results, a new finite-time synchronization theory is proposed to investigate finite-time synchronization of the complex dynamical network with non-derivative and derivative coupling, several new and effective criteria are derived to realize synchronization in finite time of the addressed complex dynamical network with non-derivative and derivative coupling. Finally, some numerical examples are provided to verify the theoretical results established in this paper.