This paper treats of the global event-triggered anti-synchronisation issue for discontinuous neural networks with the mixed time-varying delays and random feedback gain fluctuation via non-fragile control strategy. The random gain uncertainties are described by stochastic variables satisfying the Bernoulli distribution. Firstly, the novel hybrid controllers, which are composed of the non-fragile controller and the event-triggered controller, are designed. Then, based on Clarke's non-smooth analysis theory, general free-weighting matrix method, the Lyapunov-Krasovskii functional approach and Wirtinger-based multiple integral inequality analysis technology, the global event-triggered non-fragile anti-synchronisation conditions are established in terms of linear matrix inequalities (LMIs). In addition, under the considered external disturbance, the conditions with respect to the global event-triggered non-fragile anti-synchronisation are also addressed in forms of LMIs. Finally, two illustrative examples are provided to verify the effectiveness of the designed event-triggered non-fragile control scheme and the validity of theoretical results.

中文翻译：

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基于非脆弱控制策略的具有不连续神经元激活的延迟神经网络的事件触发 H∞ 反同步

本文通过非脆弱控制策略处理具有混合时变延迟和随机反馈增益波动的不连续神经网络的全局事件触发反同步问题。随机增益不确定性由满足伯努利分布的随机变量描述。首先，设计了由非脆弱控制器和事件触发控制器组成的新型混合控制器。然后，基于Clarke的非光滑分析理论、一般自由加权矩阵法、Lyapunov-Krasovskii泛函方法和基于Wirtinger的多重积分不等式分析技术，建立全局事件触发非脆弱反同步条件线性矩阵不等式 (LMI)。此外，在考虑的外部干扰下，与全局事件触发的非脆弱反同步相关的条件也以 LMI 的形式解决。最后，通过两个示例验证了所设计的事件触发非脆弱控制方案的有效性和理论结果的有效性。