Slynko, V., ITunc, CemilErdur, Sultan2025-05-102025-05-1020201064-23071555-653010.1134/S10642307190601452-s2.0-85084863232https://doi.org/10.1134/S1064230719060145https://hdl.handle.net/20.500.14720/14037Vitaliy, Slyn'Ko/0000-0002-2321-922XA class of linear periodic impulsive systems with a delay is considered. Sufficient conditions of asymptotic stability are established for systems of this class, reducing the study of the original system's stability to a similar problem for a system of linear impulsive differential equations (without a delay). This auxiliary result is used to study the interval stability of a linear impulsive system with a delay under general assumptions about the dynamic properties of continuous and discrete components. Examples are given to illustrate the effectiveness of the obtained results.eninfo:eu-repo/semantics/closedAccessArticle591Q4Q4818WOS:000522432000002