This article is concerned with the quasi‐time‐dependent asynchronous filter design problem for a class of discrete‐time switched systems via the event‐triggering mechanism. Applying the quasi‐time‐dependent Lyapunov functions and the mode‐dependent average dwell time technique, an asynchronous filter is designed with a weighted performance index; the filter parameter matrices are quasi‐time‐dependent in each event‐triggering‐dependent sampling interval; both cases (Case 1: no more than one switching, Case 2: multiple switchings) are taken into account in this sampling interval, by which the assumption, that the maximal asynchronous period is not larger than the minimal dwell time, is relaxed in this article. Simulation examples are given to show the less conservatism and effectiveness of the proposed results.

中文翻译：

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通过事件触发机制对离散时间切换系统进行准时相关的异步滤波

本文关注通过事件触发机制针对一类离散时间切换系统的准时间相关异步滤波器设计问题。应用准时间相关的Lyapunov函数和模式相关的平均停留时间技术滤波器的设计具有加权性能指标；在每个事件触发相关的采样间隔中，滤波器参数矩阵是准时间相关的；在此采样间隔中考虑了两种情况（情况1：不超过一个切换，情况2：多次切换），在此放松了最大异步周期不大于最小停留时间的假设。文章。仿真算例表明了所提出结果的保守性和有效性。