Exponentially impulsive projective and lag synchronization between uncertain complex networks

This paper is concerned with exponentially projective and lag synchronization between general complex networks via impulsive control. Presented general complex networks are uncertain with time-varying delays in both coupled and uncoupled terms. Different dynamics for each node is taken into account in order to cover the practical needs. Based on the impulsive control theory, the global exponential synchronization of complex networks is analyzed and some new sufficient conditions are derived. Moreover, two numerical examples are presented to demonstrate the effectiveness of the proposed method, first one is devoted to synchronization of networks with self-excited attractor and second one is for networks with hidden attractor.