Detail publikačního výsledku

Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients

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

Originální název

Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients

Anglický název

Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

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

Rok RIV

2025

Vydáno

31.03.2024

Nakladatel

Elsevier

Místo

OXFORD

ISSN

0005-1098

Periodikum

AUTOMATICA

Svazek

161

Číslo

3

Stát

Spojené státy americké

Strany od

1

Strany do

5

Strany počet

5

URL

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

Plný text v Digitální knihovně

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"
}

Dokumenty

1-s2.0-S0005109823006428-main