In this paper, finite-time synchronization for a class of complex-valued coupled chaotic systems with bounded non-identical perturbations and discontinuous activations is investigated. State feedback controller and Lyapunov function are designed to deal with time delay of the coupled systems. By separating the state variables into real and imaginary parts and using chain rule, sufficient conditions are obtained to realize finite-time synchronization. Moreover, the setting time can be estimated for chaotic systems. Those results can be applied to the continuous and real-valued chaotic systems. Finally, numerical simulations are given to demonstrate the effectiveness of the theoretical results.

中文翻译：

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具有时延和有界扰动的耦合复值混沌系统的有限时间同步

在本文中，研究了一类具有有界非等扰和不连续激活的复值耦合混沌系统的有限时间同步。设计了状态反馈控制器和Lyapunov函数来处理耦合系统的时滞。通过将状态变量分为实部和虚部，利用链式法则，获得了实现有限时间同步的充分条件。此外，可以估计混沌系统的凝固时间。这些结果可以应用于连续和实值混沌系统。最后通过数值模拟验证了理论结果的有效性。