In this paper the problem of synchronization for delayed chaotic systems is considered based on aperiodic intermittent control. First, delayed chaotic systems are proposed via aperiodic adaptive intermittent control. Next, to cut down the control gain, a new generalized intermittent control and its adaptive strategy is introduced. Then, by constructing a piecewise Lyapunov auxiliary function and making use of piecewise analysis technique, some effective and novel criteria are obtained to ensure the global synchronization of delayed chaotic systems by means of the designed control protocols. At the end, two examples with numerical simulations are provided to verify the effectiveness of the theoretical results proposed scheme.

本文考虑了基于非周期间歇控制的时滞混沌系统的同步问题。首先，通过非周期性自适应间歇控制提出了延迟混沌系统。接下来，为了降低控制增益，引入了一种新的广义间歇控制及其自适应策略。然后，通过构造分段Lyapunov辅助函数并利用分段分析技术，获得了一些有效且新颖的准则，以通过设计的控制协议来确保延迟混沌系统的全局同步。最后，通过两个数值模拟算例验证了所提出方案理论结果的有效性。