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The admissible edge-dependent average dwell time (AED-ADT) approach, in which the switching behavior is represented by a directed graph, is adopted in this paper to reduce the conservatism of the mode-dependent average dwell time (MDADT) method. The new sufficient conditions for the existence of a family of asynchronously switched controllers are derived by constructing the co-positive Lyapunov functional (CLF) for asynchronous intervals and the multiple piecewise co-positive Lyapunov functional (MPCLF) for synchronous intervals, ensuring that the resulting closed-loop system is finite-time stable. Then, the desired controller gains can be obtained by solving a standard linear programming (LP) problem. Finally, two numerical examples are presented to demonstrate the validity of the developed results.<\/jats:p>","DOI":"10.1177\/01423312241234696","type":"journal-article","created":{"date-parts":[[2024,3,30]],"date-time":"2024-03-30T00:39:26Z","timestamp":1711759166000},"page":"3017-3027","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Asynchronously finite-time control of discrete-time impulsive switched positive delayed systems via admissible edge-dependent switching signals"],"prefix":"10.1177","volume":"46","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2139-2392","authenticated-orcid":false,"given":"Wenzi","family":"Li","sequence":"first","affiliation":[{"name":"Teaching Department of Basic Course, Shanxi Vocational University of Engineering Science and Technology, 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