Detail publikačního výsledku

Stability switches in linear delay difference equations

ČERMÁK, J.; JÁNSKÝ, J.

Originální název

Stability switches in linear delay difference equations

Anglický název

Stability switches in linear delay difference equations

Druh

Článek WoS

Originální abstrakt

The paper discusses necessary and sufficient conditions for the asymptotic stability of the zero solution of a linear delay difference equation with complex coefficients. Compared to the case when these coefficients real numbers, the stability behaviour of this equation turns out to be much richer. In particular, the equation may switch finite times from asymptotic stability to instability and vice versa.

Anglický abstrakt

The paper discusses necessary and sufficient conditions for the asymptotic stability of the zero solution of a linear delay difference equation with complex coefficients. Compared to the case when these coefficients real numbers, the stability behaviour of this equation turns out to be much richer. In particular, the equation may switch finite times from asymptotic stability to instability and vice versa.

Klíčová slova

Delay difference equation; Asymptotic stability; Stability switch

Klíčová slova v angličtině

Delay difference equation; Asymptotic stability; Stability switch

Autoři

ČERMÁK, J.; JÁNSKÝ, J.

Rok RIV

2015

Vydáno

15.09.2014

ISSN

0096-3003

Periodikum

APPLIED MATHEMATICS AND COMPUTATION

Svazek

243

Číslo

9

Stát

Spojené státy americké

Strany od

755

Strany do

766

Strany počet

12

BibTex

@article{BUT109306,
  author="Jan {Čermák} and Jiří {Jánský}",
  title="Stability switches in linear delay difference equations",
  journal="APPLIED MATHEMATICS AND COMPUTATION",
  year="2014",
  volume="243",
  number="9",
  pages="755--766",
  doi="10.1016/j.amc.2014.06.065",
  issn="0096-3003"
}