就一种由蔡氏超混沌电路衍生而来的电路的基本特征进行了分析; 并且就一种包含两种不同类型的子控制器的具有三明治结构的半间歇控制方法进行了研究与讨论. 基于线性矩阵不等式(LMIs), 李雅普诺夫稳定性理论以及本文中的半间歇控制方法, 在实现两个忆阻(分段线性模型的忆阻器)超混沌电路的同步过程中的参数不匹配问题得以解决,并且还给出了实现这两个忆阻超混沌电路同步的指数稳定条件. 最后的仿真实验还进一步验证了该方法的高效及可行性.

In this paper, we analyze the characteristics of one kind of circuit structure that is extended from Chua's hyperchaotic circuit, and discuss a kind of semi-intermittent control approach with sandwich structure, which includes two types of sub-controllers. Based on linear matrix inequalities (LMIs), Lyapunov stability theory and this semi-intermittent control approach, the parameter mismatch problem in the process of synchronization between two memristor-based (piecewise-linear memristor) hyperchaotic circuits is solved, and the exponential stability conditions for the synchronization of two memristor-based hyperchaotic circuits are given. Finally, simulation results are displayed to verify the effectiveness and feasibility of this method.