本文主要研究了一類含非線性負電容的超混沌電路的控制同步問題，運用耦合控制原
理，設計了適合于該超混沌系統的線性耦合控制算法。該算法的實質是通過對超混沌系統施加耦合控制，使得耦合后的超混沌系統可以穩定到狀態空間的一個低維流形上，結合線性化理論及漸進穩定性理論，將耦合控制同步問題歸結為耦合控制系統的穩態誤差是否隨時間的增長趨近于零。為進一步驗證本文所設計的耦合控制算法的性能，對所提出的算法進行數值仿真，仿真結果表明了本文所給算法的有效性和可行性。
關鍵詞：耦合控制，超混沌，同步
Abstract: In this paper, the problem of control and synchronization for hyper-chaos
system including negative capacitor. The linear-couple-controlling algorithm could
be designed using couple-controlling theory. The given algorithm owned the proerpty
of making the hyper-chaos system stabilizing in the lower field, and the problem
of synchronization for the coupled-controlling hyper-chaos system could be
transformed to the one whether the stability error of the system is changing to zero
as the time is flying combing linearization with stability theory. At the same time,
the simulation on the presented algorithm could be carried out, and the results
illustrated that the algorithm is valid.
Key Words: coupled-control, hyper-chaos, synchronization