Finite-time synchronization between two complex-variable chaotic systems with unknown parameters via nonsingular terminal sliding mode control

Based on the synchronization of real-variable chaotic systems, the problem of synchronization between two complex-variable chaotic systems with unknown parameters is investigated via nonsingular terminal sliding mode control in a finite time. On the basic of the adaptive laws and finite-time stability theory, a nonsingular terminal sliding mode control is developed to guarantee the synchronization between two complex-variable chaotic systems in a given finite time. It is theoretically proved that the introduced sliding mode technique has finite-time convergence and stability in both reaching and sliding mode phases. Numerical simulation results are shown to verify the effectiveness and applicability of the finite-time synchronization.