The finite-time event-triggered H_∞ filtering of the continuous-time switched time-varying delay linear (CSTDL) systems is addressed in the paper. Firstly, by the merging switching signal technique, the CSTDL system and its filtering switched system are established as a filtering error system (FES) with augmented switching signal. And asynchronous switching of switched system modes and filter modes occurs since a mode-dependent event-triggered transmission scheme (METS) which determines the system output and switching signal is addressed. Secondly, the sufficient conditions are given to make certain that the FES is finite-time bounded (FTB) and has a specified H_∞ performance by using the average dwell time (ADT) and multi-Lyapunov functional method. Furthermore, a finite-time H_∞ filter is composed based on the inequalities of the parameters of the METS. Ultimately, a numerical example is inspired to manifest the availability of the effects in the study.

中文翻译：

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连续时间切换时变延迟线性系统的有限时间事件触发H∞滤波

本文讨论了连续时间切换时变延迟线性 (CSTDL) 系统的有限时间事件触发H _∞滤波。首先，通过合并切换信号技术，将CSTDL系统及其滤波切换系统建立为具有增强切换信号的滤波误差系统（FES）。并且由于确定系统输出和切换信号的与模式相关的事件触发传输方案 (METS) 得到解决，因此发生切换系统模式和滤波器模式的异步切换。其次，给出了确定 FES 是有限时间有界 (FTB) 并且具有指定H _{∞的充分条件。}通过使用平均停留时间 (ADT) 和多 Lyapunov 函数方法来实现性能。此外，基于METS参数的不等式组成有限时间H _{∞滤波器。}最终，启发了一个数值示例来证明研究中效果的可用性。