The Impact of Coupling Function on Finite‐Time Synchronization Dynamics of Multi‐Weighted Complex Networks with Switching Topology
Bin Yang, Xin Wang, Jian‐an Fang, Yuhua Xu · Complexity · 2019
This paper is not only concerned with the problem of finite‐time synchronization control for a class of nonlinear coupling multi‐weighted complex networks (NCMWCNs) with switching topology but also an attempt at using the derived results and Lyapunov stability theory to study the impact of nonlinear coupling function on finite‐time synchronization dynamics of the raised network model. Firstly, different from the existing related results, based on the existing and new finite‐time theories, two finite‐time synchronization controllers are, respectively, designed to make the considered network achieve finite‐time synchronization. Secondly, according to the obtained results, several finite‐time synchronization dynamics criteria are established to show that nonlinear coupled function and the switching of outer‐coupling matrix are how to impact finite‐time synchronization dynamics. Finally, two illustrated examples are provided to verify the effectiveness of theoretical results proposed in this paper.