Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients

Thumbnail Image
Files
1s2.0S0005109823006428main.pdf(383.02 KB)
Date
2024-03-31
Authors
Diblík, Josef
Pituk, Mihaly
Szederkényi, Gábor
ORCID
0000-0001-5009-316X
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Altmetrics
Abstract
Nonautonomous linear ordinary differential equations with Kirchhoff coefficients are considered. Under appropriate assumptions on the topology of the directed graphs of the coefficients, it is shown that if the Perron vectors of the coefficients are slowly varying at infinity, then every solution is asymptotic to a constant multiple of the Perron vectors at infinity. Our results improve and generalize some recent convergence theorems.
Description
Keywords
Linear systems, Time-varying systems, Positive systems, Kirchhoff matrix
Citation
AUTOMATICA. 2024, vol. 161, issue 3, p. 1-5.
https://www.sciencedirect.com/science/article/pii/S0005109823006428?via%3Dihub
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en
Study field
Comittee
Date of acceptance
Defence
Result of defence
Document licence
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
DOI
10.1016/j.automatica.2023.111473
URI
https://hdl.handle.net/11012/249934
Collections
Ústav matematiky a deskriptivní geometrie
Citace PRO