Detail publikace

Exact versus discretized stability regions for a linear delay differential equation

ČERMÁK, J. JÁNSKÝ, J. NECHVÁTAL, L.

Originální název

Exact versus discretized stability regions for a linear delay differential equation

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The paper introduces a system of necessary and sufficient stability conditions for a four- term linear delay difference equation with complex coefficients. These conditions are de- rived explicitly with respect to the time lag and can be viewed as a direct discrete coun- terpart to the existing stability results for the underlying delay differential equation. As a main proof tool, the boundary locus technique combined with some special results of the polynomial theory is employed. Since the studied difference equation serves as a θ - method discretization of its continuous pattern, several problems of numerical stability are discussed as well.

Klíčová slova

Linear delay difference equation; Linear delay differential equation; θ -method discretization; Exact and numerical stability

Autoři

ČERMÁK, J.; JÁNSKÝ, J.; NECHVÁTAL, L.

Vydáno

15. 4. 2019

Nakladatel

Elsevier Science Inc.

Místo

New York, USA

ISSN

0096-3003

Periodikum

APPLIED MATHEMATICS AND COMPUTATION

Ročník

347

Číslo

1

Stát

Spojené státy americké

Strany od

712

Strany do

722

Strany počet

11

URL

https://www.sciencedirect.com/science/article/pii/S0096300318310002

BibTex

@article{BUT155747,
  author="Jan {Čermák} and Jiří {Jánský} and Luděk {Nechvátal}",
  title="Exact versus discretized stability regions for a linear delay differential equation",
  journal="APPLIED MATHEMATICS AND COMPUTATION",
  year="2019",
  volume="347",
  number="1",
  pages="712--722",
  doi="10.1016/j.amc.2018.11.026",
  issn="0096-3003",
  url="https://www.sciencedirect.com/science/article/pii/S0096300318310002"
}