Publication detail

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

ČERMÁK, J. JÁNSKÝ, J. TOMÁŠEK, P.

Original Title

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

Type

journal article - other

Language

English

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

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

Authors

ČERMÁK, J.; JÁNSKÝ, J.; TOMÁŠEK, P.

RIV year

2012

Released

1. 11. 2012

Publisher

Taylor & Francis

Location

Londýn

ISBN

1023-6198

Periodical

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS

Year of study

18

Number

11

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1781

Pages to

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"
}