Optimal Synchronization of Complex Chaotic T-Systems and Its Application in Secure Communication

[摘要] This study investigates the optimal synchronization of two identical complex chaotic master and slave systems. The master and slave systems are complex T-systems, in which parameters of the slave system are completely uncertain. The optimal adaptive control scheme is also used for synchronization in infinite and finite time intervals. The stability of proposed method is proved using Lyapunov stability theorem. Moreover, synchronization results are applied to secure communication via modified masking method. To this end, the known parameters and the estimation of unknown parameters are used as encryption and decryption keys, respectively. Numerical simulations illustrate the ability and effectiveness of proposed method...

[学科分类] 自动化工程

[关键词] Lyapunov stability ;Synchronization ;Optimal control ;Adaptive control ;Secure communication