【摘要】 研究了基于非周期半间歇控制的驱动—响应混沌系统的固定时间模糊同步控制及其在图像安全传输中的应用问题。基于固定时间稳定性理论与T-S模糊建模方法，设计了具有非周期半间歇特性的模糊控制器，通过构造Lyapunov函数结合不等式分析技术，严格证明了驱动—响应混沌系统在固定时间内实现同步的充分条件。基于所建立的同步方案，构建了一种高效的图像加密与解密算法，将混沌系统的输出作为密钥流对图像像素进行混淆与扩散处理。数值仿真验证了所提方法的有效性与可行性。更多还原

【Abstract】 This paper addresses the problem of fixed-time fuzzy synchronization for drive-response chaotic systems using aperiodically semi-intermittent control and its application to image encryption and decryption. Based on fixed-time stability theory and T-S fuzzy model, a suitable fuzzy aperiodically semi-intermittent controller is designed. By constructing a Lyapunov function and employing inequality analysis techniques, sufficient conditions for achieving fixed-time synchronization between the drive and response systems are rigorously derived. Furthermore, an efficient image encryption and decryption algorithm is developed based on the established synchronization scheme, where the output of the chaotic systems is utilized as a key stream for the confusion and diffusion of image pixels. Simulation results demonstrate the viability and effectiveness of the proposed method.更多还原