Synchronizing chaotic PDE system using backstepping and its application to image encryption
Synchronizing chaotic PDE system using backstepping and its application to image encryption
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DOI：
10.1080/18824889.2022.2112528
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发表时间：
2022-06
期刊：
影响因子：
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通讯作者：
H. Sano;M. Wakaiki
中科院分区：
文献类型：
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作者：
H. Sano;M. Wakaiki
研究了一类非线性双曲系统在修正的货车der Pol边界条件下的观测器设计问题。将观测器应用于保密通信时，观测器起到了混沌同步系统的作用。在我们以前的工作（佐野等人，使用分布参数混沌同步的安全通信系统。SICE Trans.2021; 57（2）：78-85），处理了一个不含积分项的非线性双曲系统，构造了一个简单的同步系统，其中系统的常系数起着密钥的作用。但从安全的角度来看，钥匙是脆弱的。另一方面，在积分项包含在边界条件中的情况下，我们需要构造观测器。积分项中包含的加权函数给出了一种新的分布式加密密钥。文中还讨论了它在图像加密中的应用，并给出了数值模拟结果.
This paper is concerned with the observer design problem for a nonlinear hyperbolic system with a modified van der Pol boundary condition in which an integral term is included. The observer plays a role of a chaotic synchronizing system when applying it to secure communication. In our previous work (Sano et al. Secure communication systems using distributed parameter chaotic synchronization. SICE Trans. 2021;57(2):78–85), a nonlinear hyperbolic system without the integral term was treated and a simple synchronizing system was constructed, where the constant coefficients of system played a role of encryption keys. But the keys were vulnerable from a safety standpoint. On the other hand, in the case where the integral term is included in the boundary condition, we need to construct observers. The weighted function contained in the integral term gives a new encryption key of distributed type. An application to image encryption is also discussed and numerical simulation results are given.