Exponential Quasi-Synchronization of Nonautonomous Complex Dynamical Networks With Conformable Fractional-Order Derivatives

This paper studies the exponential quasi-synchronization of nonautonomous conformable fractional-order complex dynamical networks (NCFCDNs) via means of the periodically intermittent pinning control (PIPC). First, a nonautonomous conformable fractional-order error systems are established, which include stable and unstable subsystems. Second, for the cases where the existing results are invalid to handle switched nonautonomous terms, a new conformable fractional-order Halanay inequality is obtained, which serves as a powerful tool in the analysis of quasi-synchronization of NCFCDNs. Then, by virtue of the obtained Halanay inequality, Lyapunov method, and periodically intermittent controller, sufficient conditions of exponential quasi-synchronization of NCFCDNs are derived. Our results allow nonautonomous terms to be switched during work time and rest time, which is more relaxing than the previous results. Finally, a simulation example is included to show the feasibility of the derived results.