Impulsively control complex networks with different dynamical nodes to its trivial equilibrium

This paper investigates the stability of complex networks with different dynamical nodes by impulsive control. A model of complex network with different dynamical nodes is presented and then the impulsive controlled network is written as a whole vector equation. Specially, the coupling matrix in this model is not assumed to be diffusive or irreducible. Some criteria and corollary are derived for the presented impulsive controlled complex networks. Furthermore, the results are illustrated by a complex network composed of the chaotic Lorenz systems and Chua’s circuit systems. All the numerical simulations verify the correctness of the theoretical results.