Shen Zhuan, Yang Fan, Chen Jing, Zhang Jingxiang, Hu Aihua, Hu Manfeng
School of Science, Jiangnan University, Wuxi 214122, China.
Entropy (Basel). 2021 Sep 30;23(10):1291. doi: 10.3390/e23101291.
This paper investigates the problem of adaptive event-triggered synchronization for uncertain FNNs subject to double deception attacks and time-varying delay. During network transmission, a practical deception attack phenomenon in FNNs should be considered; that is, we investigated the situation in which the attack occurs via both communication channels, from S-C and from C-A simultaneously, rather than considering only one, as in many papers; and the double attacks are described by high-level Markov processes rather than simple random variables. To further reduce network load, an advanced AETS with an adaptive threshold coefficient was first used in FNNs to deal with deception attacks. Moreover, given the engineering background, uncertain parameters and time-varying delay were also considered, and a feedback control scheme was adopted. Based on the above, a unique closed-loop synchronization error system was constructed. Sufficient conditions that guarantee the stability of the closed-loop system are ensured by the Lyapunov-Krasovskii functional method. Finally, a numerical example is presented to verify the effectiveness of the proposed method.
本文研究了受双重欺骗攻击和时变延迟影响的不确定模糊神经网络的自适应事件触发同步问题。在网络传输过程中,应考虑模糊神经网络中实际的欺骗攻击现象;也就是说,我们研究了攻击通过通信通道同时从S-C和从C-A发生的情况,而不是像许多论文那样只考虑其中一个;并且双重攻击由高阶马尔可夫过程描述,而不是简单的随机变量。为了进一步降低网络负载,首次在模糊神经网络中使用了具有自适应阈值系数的先进自适应事件触发机制来处理欺骗攻击。此外,考虑到工程背景,还考虑了不确定参数和时变延迟,并采用了反馈控制方案。基于上述内容,构建了一个唯一的闭环同步误差系统。通过Lyapunov-Krasovskii泛函方法确保了保证闭环系统稳定性的充分条件。最后,给出了一个数值例子来验证所提方法的有效性。