中文摘要：

基于Lyapunov稳定理论，研究了一类三阶忆阻器混沌电路系统在单向线性耦合下实现同步的可靠性问题。在临界值上选择恒定的控制器增益则容易实现两个混沌系统的同步；控制器增益时变下，一定强度范围内也可以实现同步。进一步通过数值方法计算了耦合增益对控制器平均功耗和达到同步暂态时间的影响。

英文摘要：

Based on the Lyapunov stability theory, the feasibility of synchronization was proved between aclass of third-order memristor chaotic circuits under undirectional linear coupling. Complete synchronizationcan be realized when constant gain in the controller is beyond the threshold. In the case of time-varyinggain in controller, synchronization still can be observed in some parameter region. Furthermore, numericalmethod was used to calculate the effect of gain selection in controller on the average power consumptionand transient period to reach synchronization