Adaptive-impulsive control for generalized projective synchronization between two complex networks with time delay

In this paper, we integrate impulsive control and adaptive control methods, based on the stability theory of impulsive differential equations, generalized projective synchronization between the general complex dynamical networks with time delay is investigated. A nonlinear controller, updating laws and a linear impulsive controller are proposed. An adaptive-impulsive generalized projective synchronization criterion of network with time delay is established. Moreover, the complex network with time delay consisting of energy resource system is used as a numerical example. Generalized projective synchronization between two energy resource complex networks with time delay is achieved. This study will be instructive for the demand-supply of energy resource in some regions of China.