Publication result detail

Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients

DIBLÍK, J.; PITUK, M.; SZEDERKÉNYI, G.

Original Title

Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients

English Title

Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients

Type

WoS Article

Original 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.

English 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.

Keywords

Linear systems; Time-varying systems; Positive systems; Kirchhoff matrix

Key words in English

Linear systems; Time-varying systems; Positive systems; Kirchhoff matrix

Authors

DIBLÍK, J.; PITUK, M.; SZEDERKÉNYI, G.

RIV year

2025

Released

31.03.2024

Publisher

Elsevier

Location

OXFORD

ISBN

0005-1098

Periodical

AUTOMATICA

Volume

161

Number

3

State

United States of America

Pages from

1

Pages to

5

Pages count

5

URL

https://www.sciencedirect.com/science/article/pii/S0005109823006428?via%3Dihub

Full text in the Digital Library

http://hdl.handle.net/11012/249934

BibTex

@article{BUT189321,
  author="Josef {Diblík} and Mihaly {Pituk} and Gábor {Szederkényi}",
  title="Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients",
  journal="AUTOMATICA",
  year="2024",
  volume="161",
  number="3",
  pages="1--5",
  doi="10.1016/j.automatica.2023.111473",
  issn="0005-1098",
  url="https://www.sciencedirect.com/science/article/pii/S0005109823006428?via%3Dihub"
}

Documents

1-s2.0-S0005109823006428-main