Fixed-Time Synchronization of Fractional-Order Multilayer Complex Networks Via a New Fixed-Time Stability Theorem

Abstract

Fixed-time synchronization of fractional-order multilayer complex networks is studied in this paper. At first, a novel fixed-time stability theorem for the fractional-order nonlinear system is presented. The stability theorem is a generalization of the integer order stability theorem and plays an important role on the synchronization schemes. Based on the proposed stability theorem, the fixed-time synchronization of fractional-order multilayer complex networks is investigated, and a fixed-time synchronization criterion is presented. Simulation results are given to demonstrate the effectiveness of our results.