In this paper, we investigate a hybrid projective combination–combination synchronization scheme among four non-identical hyperchaotic systems via adaptive control method. Based on Lyapunov stability theory, the considered approach identifies the unknown parameters and determines the asymptotic stability globally. It is observed that various synchronization techniques, for instance, chaos control problem, combination synchronization, projective synchronization, etc. turn into particular cases of combination–combination synchronization. The proposed scheme is applicable to secure communication and information processing. Finally, numerical simulations are performed to demonstrate the effectivity and correctness of the considered technique by using MATLAB.

在本文中，我们通过自适应控制方法研究了四个非相同超混沌系统之间的混合射影组合-组合同步方案。基于Lyapunov稳定性理论，所考虑的方法识别未知参数并全局确定渐近稳定性。可以看到，各种同步技术，例如混沌控制问题，组合同步，投影同步等，都变成了组合-组合同步的特殊情况。所提出的方案适用于安全通信和信息处理。最后，通过MATLAB进行了数值模拟，以证明所考虑技术的有效性和正确性。