Exponential Quasi‐Synchronization of Nonautonomous Complex Dynamical Networks With Conformable Fractional‐Order Derivatives
Baizeng Bao, Liguang Xu · Mathematical Methods in the Applied Sciences · 2024
ABSTRACT 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.