Quasi-synchronization analysis for fractional-order delayed complex dynamical networks

This paper studies the global exponential quasi-synchronization for fractional-order delayed dynamical networks via periodically intermittent pinning control. Firstly, we present some new fractional-order delayed differential inequalities. Then based on the obtained inequalities, the Lyapunov method as well as the periodically intermittent pinning controller, sufficient conditions for achieving global exponential quasi-synchronization is derived for the addressed networks. Finally, numerical simulations are provided to verify the theoretical results. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

Automated summary

This paper investigates global exponential quasi-synchronization for fractional-order delayed dynamical networks with periodically intermittent pinning control. New fractional-order delayed differential inequalities are presented, and sufficient conditions for achieving global exponential quasi-synchronization are derived using the Lyapunov method and periodically intermittent pinning controller. Numerical simulations are provided to confirm the theoretical results.