This paper is concerned with the issue of fault-tolerant anti-synchro-nization control for chaotic switched neural networks with time delay and reaction-diffusion terms under the drive-response scheme, where the response system is assumed to be disturbed by stochastic noise. Both arbitrary switching signal and average dwell-time limited switching signal are taken into account. With the aid of the Lyapunov-Krasovskii functional approach and combining with the generalized Itô formula, sufficient conditions on the mean-square exponential stability for the anti-synchronization error system are presented. Then, by utilizing some decoupling methods, constructive design strategies on the desired fault-tolerant anti-synchronization controller are proposed. Finally, an example is given to demonstrate the effectiveness of our design strategies.

中文翻译：

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具有时间延迟和反应扩散的混沌开关神经网络的容错反同步控制

本文讨论了在驱动响应方案下，具有时滞和反应扩散项的混沌开关神经网络的容错反同步控制问题，其中响应系统被随机噪声干扰。任意开关信号和平均驻留时间限制开关信号都被考虑在内。借助Lyapunov-Krasovskii泛函方法，并与广义的Itô公式相结合，给出了用于反同步误差系统的均方指数稳定性的充分条件。然后，利用一些解耦方法，提出了一种理想的容错反同步控制器的建设性设计策略。最后，通过一个例子来说明我们设计策略的有效性。