CAJ | 학술논문

应用分数阶系统稳定性理论，针对Lu¨分数阶混沌系统，设计了一种同步控制新方法。仅在分数阶混沌响应系统中添加一个控制器，便可使该系统之间达成有效同步。为了提高通信系统的保密性，实现复杂的非周期信息的安全传输，基于混沌模拟通信技术，将该方案应用到混沌掩盖保密通信中。在接收端利用同步后的混沌信号进行去掩盖，从而恢复出有用信息。同时给出了理论分析与数值仿真结果。
응용분수계계통은정성이론，침대Lu¨분수계혼돈계통，설계료일충동보공제신방법。부재분수계혼돈향응계통중첨가일개공제기，편가사해계통지간체성유효동보。위료제고통신계통적보밀성，실현복잡적비주기신식적안전전수，기우혼돈모의통신기술，장해방안응용도혼돈엄개보밀통신중。재접수단이용동보후적혼돈신호진행거엄개，종이회복출유용신식。동시급출료이론분석여수치방진결과。
A new controller design method was proposed to synchronize a class of fractional-order chaotic system through the stability theory of fractional calculus.In order to make effective synchronization between two fractional order systems,one suitable controller need to be added to the system only.In order to improve the system of communication security and the implementation of the secure transmission of complex aperiodic information,the scheme was applied to chaos masking secure communication based on chaotic communication technology.The useful information was properly recovered at the receiver through chaos unmasking.Finally, numerical simulations as well as the theoretical analysis were provided.