【摘要】 基于反馈控制几何理论提出了一种新的超混沌系统同步方法.选择合适的光滑向量场,根据多输入多输出微分几何理论将接收系统规范化,由收发端的输出及输出的各阶导数之差构造同步误差状态方程,根据极点配置方法设计反馈控制使发送和接收系统的输出同步,从而使两个系统的部分状态或全部状态同步.以两个完全匹配的蔡氏电路单向耦合构成的6维蔡氏超混沌系统为例,研究了同步情况及其在保密通信中的应用.仿真结果证实了这种方法的有效性.更多还原

【Abstract】 Based on geometric theory of nonlinear feedback control,a new method for synchronizing hyper-chaotic systems was put forward.After the prerequisite of an appropriate smooth vector field by virtue of multi-input and multi-output nonlinear differential geometry theory to assure the normalization of the re-ceiver system was satisfied,then in terms of differences of outputs and their different orders derivatives of the transmitter and receiver,the synchronization error state equations were constructed.By pole assign-ment,a nonlinear controller for synchronizing the output signals of two higher chaotic systems was also given and extended to the whole or part of the states of the two systems.As a result,numerical simulation of a coupled Chua’s circuit and its application in secure communication proved the efficacy of the suggested methods.更多还原