基于改进的自适应反馈混沌系统同步

基于LaSalle不变定理和Lyapunov方法，针对混沌系统同步问题提出了一种改进的自适应反馈方法。与一般线性反馈系统不同，这种方法能自动调整更新规则的可变反馈变量。在该自适应更新规则的控制下，反馈强度可自动调整到新的自适应规则，从而使响应系统的状态全局同步于驱动系统的状态。Chen氏混沌系统和Lu氏混沌系统说明了所设计的自适应反馈方法的有效性。

Based on the Improved Adaptive Feedback Synchronization of Chaotic Systems

Based on the LaSalle＇ s invariant theorem and Lyapunov method, a improved adaptive feedback scheme is proposed to synchronize chaotic systems. Unlike the usual linear feedback, this scheme uses the variable feed- back which is automatically adapted to a updated law. In the updated rules adaptive control, feedback intensity can be adjusted to the new adaptive rules, which would enable response system the overall state of synchronous drive system in the state. Chen＇ s chaotic system and Lti＇ s chaotic system are used to illustrate the validity of this theoretic method.