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Finite-time and fixed-time impulsive synchronization of chaotic systems

Abstract:

This paper investigates the finite-time and fixed-time synchronization of chaotic systems with impulsive control method. Based on the theory of impulsive differential system, Lyapunov stability and finite-time control technique, some new sufficient criteria are derived to achieve the finite-time and fixed-time synchronization of chaotic systems. Different from the existing methods of finite-time and fixed-time synchronization scheme, the effective impulsive control protocol is exerted to obtain faster convergence speed and less state information transmission, which is more flexible and practical in real systems. Finally, the simulation is given to illustrate the effectiveness and validity of the theoretical results.