Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay

This paper devotes to the adaptive globally synchronization within predefined-time of two time-delayed fractional-order chaotic systems. Firstly, through fractional calculus, novel different systems with time-delay are proposed, whose convergence is guaranteed and phase trajectory given. Secondly, by exploiting non-negative Lyapunov function inequality theorem, a global stability theorem which can ensure settling time tunable. And upper bound estimation more accurate compared classical results. With help active controllers designed, namely fixed-time controller controller, achieve respectively. Finally, several numerical simulations presented in order show effectiveness proposed methods.