Slynko, VitaliiTunc, Cemil2025-05-102025-05-1020190005-10981873-283610.1016/j.automatica.2019.06.0012-s2.0-85067895804https://doi.org/10.1016/j.automatica.2019.06.001https://hdl.handle.net/20.500.14720/11465Tunc, Cemil/0000-0003-2909-8753; Vitaliy, Slyn'Ko/0000-0002-2321-922XLinear impulsive switched differential equations in Hilbert space are studied. We propose a new method of stability investigation, which is based in constructing an equivalent impulsive system without switching. Using operator-valued and scalar Lyapunov functions, sufficient conditions for Lyapunov stability of linear switched impulsive equations in a Banach space are established. The examples of studies of this class of equations with periodic switching are given. (C) 2019 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessLyapunov StabilityHilbert SpacesSwitched SystemsImpulsive SystemsLyapunov FunctionArticle107Q1Q1433441WOS:000481723300048