本文運用理論分析與仿真實驗相結合的手段，研究了一類超混沌系統的自適應控制同
步問題。所研究的超混沌系統為一含負電容的四階自治超混沌電路。運用自適應控制原理，針對所給出的超混沌系統設計了超混沌自適應控制算法。運用線性化方法及穩定性理論，將自適應控制同步問題轉化為誤差的穩定性問題。對控制算法中關鍵參數的選取進行了理論分析，在此基礎上，對控制算法進行數值仿真驗證，結果表明了所設計超混沌自適應控制器的有效性。
關鍵詞：超混沌，自適應控制，同步1
Abstract: In this paper, the problem of adaptive control and synchronization for
a kind of hyper-chaos system constructed by order autonomous-circuit including
negative capacitor simulation is researched. The adaptive controller for
hyper-chaos system based on adaptive theory is presented. Through linearization and
stability theory, the control and synchronization problem could be transformed to
the one of error analyzing. And the numerical simulation is carried out on the bases
of theory analysis with the key parameters chosen.The results illustrated that the
algorithm is effective.
Key Words: Hyper-chaos, Adaptive control, Synchronization