Quasi-synchronization of switched linearly coupled complex networks

This paper investigates quasi-synchronization of switched linearly coupled complex networks with discontinuous nonlinear functions. The existence and boundedness of solutions for discontinuous complex networks are derived by the matrix measure approach and Filippov solutions. A sufficient condition is derived to ensure quasi-synchronization of switched coupled complex networks with discontinuous isolated nodes, which could be controlled by some designed linear controllers. The main results extend the previous work on the synchronization issue of coupled switched networks with Lipschitz continuous conditions. Numerical simulations are given to demonstrate the effectiveness of the theoretical results.