Quasi-synchronization of fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control

This paper focuses on the quasi-synchronization problem for fractional-order heterogeneous dynamical networks via aperiodic intermittent pinning control. First, based on the properties of the Mittag-Leffler function, a new fractional-order differential inequality is established. By utilizing the new inequality and Lyapunov function method, a general sufficient condition is then derived to ensure the addressed dynamical networks can achieve global quasi-synchronization through pinning part of the network nodes with simple aperiodic intermittent controllers, which is followed by some easily-verified quasi-synchronization criteria. In addition, the exponential convergence rate and the error bound of the quasi-synchronization are also estimated, respectively. Moreover, a detailed algorithm about how to design suitable aperiodic in-termittent pinning controllers is provided. Finally, a numerical example is presented to verify the validity of theoretical analysis. (c) 2021 Elsevier Ltd. All rights reserved.