Quasi-synchronization of heterogeneous complex networks with switching sequentially disconnected topology

摘要

In this paper, quasi-synchronization is investigated for heterogeneous complex networks. All nodes of complex networks are nonlinear and have different dynamics. When topology is switching and disconnected, some sufficient criteria that guaranteeing the quasi-synchronization of heterogeneous complex networks are obtained based on the theory of sequential connectivity and joint connectivity. Even if the complex networks are heterogeneous, without any external control, and the topology is not connected at any moment, the errors between any pair of nodes will not exceed the upper bound, Which is derived by calculating the maximal distance between any pair of nodes. Finally, some numerical simulations are provided to demonstrate the efficiency of the theoretical results.