Publication detail

On stability regions for some delay differential equations and their discretizations

ČERMÁK, J. DRAŽKOVÁ, J.

Czech title

Oblasti stability pro některé diferenciální rovnice se zpožděním a jejich diskretizace

English title

On stability regions for some delay differential equations and their discretizations

Type

journal article in Web of Science

Language

en

Original abstract

The paper discusses stability regions for the exact and discretized differential equation with a constant lag. These regions are described in terms of explicit necessary and sufficient conditions guaranteeing the asymptotic stability of studied equations.

Czech abstract

Článek popisuje oblasti stability pro exaktní a diskrétní diferenciální rovnici s konstantním zpožděním. Tyto oblasti jsou popsány pomocí explicitních nutných a postačujících podmínek garantujících asymptotickou stabilitu studované rovnice.

English abstract

The paper discusses stability regions for the exact and discretized differential equation with a constant lag. These regions are described in terms of explicit necessary and sufficient conditions guaranteeing the asymptotic stability of studied equations.

Keywords in Czech

Diferenciální rovnice se zpožděním; numerická diskretizace; asymptotická stabilita

Keywords in English

Delay differential equation; numerical discretization; asymptotic stability

RIV year

2014

Released

01.06.2014

Publisher

Springer

ISSN

0031-5303

Volume

68

Number

2

Pages from–to

193–206

Pages count

14

BIBTEX


@article{BUT101364,
  author="Jan {Čermák} and Jana {Dražková},
  title="On stability regions for some delay differential equations and their discretizations",
  year="2014",
  volume="68",
  number="2",
  month="June",
  pages="193--206",
  publisher="Springer",
  issn="0031-5303"
}