Finite-time Synchronization of Fractional-Order Lorenz-Stenflo Hyper-Chaotic Systems

This study investigates a type of Lorenz-Stenflo chaotic system with complex dynamic behavior. Firstly, a sliding mode control protocol based on power reaching rate is designed to realize the finite time synchronization control problem of the system. Secondly, based on lyapunov stability theory, relevant theories of fractional calculus and finite time stability theory, a synchronization controller for chaotic systems is designed, sufficient conditions for global finite time synchronization are derived, and a mathematical proof process is given to verify the stability of the system. Finally, the validity and feasibility is fully verified by numerical simulation result.