Publication detail

On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations

ČERMÁK, J. JÁNSKÝ, J. TOMÁŠEK, P.

English title

On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

This paper discusses two explicit forms of necessary and sufficient conditions for the asymptotic stability of the autonomous four-term linear difference equation. These conditions are derived by use of the Schur–Cohn criterion converted into a more applicable form.

Keywords in English

Linear difference equation, asymptotic stability, characteristic polynomial, numerical discretization

Released

2012-11-01

Publisher

Taylor & Francis

Location

Londýn

ISSN

1023-6198

Journal

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS

Volume

18

Number

11

Pages from–to

1781–1800

Pages count

20

BIBTEX


@article{BUT76077,
  author="Jan {Čermák} and Jiří {Jánský} and Petr {Tomášek}",
  title="On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations",
  journal="JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS",
  year="2012",
  volume="18",
  number="11",
  pages="1781--1800",
  issn="1023-6198"
}