This paper proposes an idea of using time-delay partitioning to construct a Lyapunov–Krasovskii functional (LKF) to analyse event-driven network control systems (NCSs) with the H∞ performance. Firstly, select a mixed event-driven mechanism, in which an adjustable absolute trigger mechanism is added to the trigger condition. Trigger term can be indicated to use a delay model. Secondly, a suitable LKF is created, which makes use of time-delay partitioning. Based on Wirtinger inequality and linear matrix inequalities (LMI), the close system with H∞ performance index level is global uniform ultimate bounded. Finally, a numerical simulation example proves the effectiveness of the proposed method.

中文翻译：

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混合事件触发机制和时间划分应用于事件驱动控制系统

本文提出使用时间延迟分区构建的Lyapunov-Krasovskii泛函（LKF）来分析与事件驱动的网络控制系统（网络控制系统）的一个想法ħ ∞性能。首先，选择一种混合事件驱动机制，其中在触发条件上添加了可调整的绝对触发机制。可以指示触发项使用延迟模型。其次，创建一个合适的LKF，它使用时间延迟分区。基于Wirtinger不等式和线性矩阵不等式（LMI），与靠近系统ħ ∞性能指标水平是全局一致最终有界。最后，通过数值算例验证了该方法的有效性。