Publication detail

Stability switches in linear delay difference equations

ČERMÁK, J. JÁNSKÝ, J.

English title

Stability switches in linear delay difference equations

Type

WoS Article

Language

en

Original abstract

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.

Keywords in English

Delay difference equation; Asymptotic stability; Stability switch

Released

2014-09-15

ISSN

0096-3003

Journal

APPLIED MATHEMATICS AND COMPUTATION

Volume

243

Number

9

Pages from–to

755–766

Pages count

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"
}