In this paper, an adaptive model-free control method is designed to synchronize a class of fractional-order neural networks which has a vast application in engineering and industry. The theoretical and analytical concepts of the method are based on the fractional-order version of the Lyapunov stability theorem and using adaptive control theory. Moreover, it is worth to mention that, because of using of boundedness property in states of chaotic systems, there is no trace of nonlinear/linear dynamic terms of the system in the control approach. Also, for the application point of view, a new crypto-system algorithm is proposed based on the designed adaptive model-free method for encryption/decryption of unmanned aerial vehicle color images. Plus, numerical simulations are created to emphasize the usability of the method and algorithm. Finally, this point should be emphasized that security analysis including key space analysis, key sensitivity analysis, histogram analysis, information entropy analysis and correlation analysis of the crypto-system are provided to confirm the results of the crypto-system.

本文设计了一种自适应的无模型控制方法来同步一类分数阶神经网络，该方法在工程和工业中都有广泛的应用。该方法的理论和分析概念基于Lyapunov稳定性定理的分数阶形式，并使用自适应控制理论。此外，值得一提的是，由于在混沌系统的状态下使用有界性质，因此在控制方法中没有系统非线性/线性动态项的痕迹。此外，从应用的角度出发，基于所设计的自适应无模型方法，提出了一种新的密码系统算法，用于无人飞行器彩色图像的加密/解密。此外，还创建了数值模拟来强调该方法和算法的可用性。最后，