Stability of Abstract Linear Switched Impulsive Differential Equations
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Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Abstract
Linear 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.
Description
Tunc, Cemil/0000-0003-2909-8753; Vitaliy, Slyn'Ko/0000-0002-2321-922X
Keywords
Lyapunov Stability, Hilbert Spaces, Switched Systems, Impulsive Systems, Lyapunov Function
Turkish CoHE Thesis Center URL
WoS Q
Q1
Scopus Q
Q1
Source
Volume
107
Issue
Start Page
433
End Page
441