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复杂系统与复杂性科学  2022, Vol. 19 Issue (4): 91-98    DOI: 10.13306/j.1672-3813.2022.04.012
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改进的混沌反控制设计及在图像加密中的应用
吕恩胜
河南应用技术职业学院机电工程学院,郑州 450042
An Improved Chaos Anti Control Design and Its Application in Image Encryption
LÜ Ensheng
Department of Mechanical and Electrical Engineering, Henan Technical Institute, Zhengzhou 450042, China
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摘要 为产生混沌动力学行为,针对一类线性系统,设计了对称分段线性状态反馈控制器,改进了混沌反控制方法,通过调节控制器参数可对线性系统进行混沌反控制,结合最大Lyapunov指数证明其混沌性,根据Routh-Hurwitz判据分析其平衡点的稳定性,详细分析了混沌系统的动力学行为,利用新系统的混沌序列对图像进行加密,仿真结果直方图分布均匀、相邻像素相关性小,表明设计的混沌系统应用于图像加密系统的安全性能高。
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吕恩胜
关键词 混沌反控制状态反馈动力学分析图像加密    
Abstract:In order to generate chaotic dynamic behavior, aiming at a class of chaotic system, the chaos anti control method is improved, and the symmetrical piecewise linear state feedback controller is designed. The chaos of the linear system can be controlled by adjusting the parameters of the controller. The chaos is proved by combining the maximum Lyapunov index. The stability of the equilibrium point is analyzed according to the Routh Hurwitz criterion, and the dynamic behavior of the chaotic system is analyzed in detail. The new system is used to encrypt the image. The simulation results show that the histogram distribution is uniform and the correlation between adjacent pixels is small. It shows that the designed chaos system has high security performance in image encryption system.
Key wordschaos    anti-control    state feedback    dynamic analysis    Image encryption
收稿日期: 2021-06-15      出版日期: 2023-01-09
ZTFLH:  TP 391.9  
基金资助:河南省高等学校青年骨干教师培养计划(2018GGJS283)
作者简介: 吕恩胜(1981),男,河南光山人,硕士,副教授,主要研究方向为电路理论与应用、嵌入式技术。
引用本文:   
吕恩胜. 改进的混沌反控制设计及在图像加密中的应用[J]. 复杂系统与复杂性科学, 2022, 19(4): 91-98.
LÜ Ensheng. An Improved Chaos Anti Control Design and Its Application in Image Encryption. Complex Systems and Complexity Science, 2022, 19(4): 91-98.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2022.04.012      或      https://fzkx.qdu.edu.cn/CN/Y2022/V19/I4/91
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