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| 分数阶Lu混沌系统的同步控制新方法研究 |
| A novel synchronization controller for fractional order L chaotic system |
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| DOI： |
| 中文关键词: 分数阶混沌系统 混沌同步 保密通信 L混沌系统 分数阶微分；渐近稳定 |
| 英文关键词: fractional order chaotic system chaos synchronization secure communication L chaotic system fractional calculus asymptotical stability |
| 基金项目:国家自然科学基金重点资助项目（60835004）；湖南省自然科学基金资助项目（09JJ3117，14JJ3107,14JJ3108）；江苏省自然科学基金资助项目（BK2009727）；教育部重点项目（211118）;湖南省科技计划项目（2013TZ2017,2013FJ3156,2013GK3090,B11125）；湖南科技大学研究生创新基金项目(S130022) |
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| 中文摘要: |
| 应用分数阶系统稳定性理论，针对L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. |
| 英文摘要: |
| 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. |
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