Detail publikace

Explicit stability conditions for a linear trinomial delay difference equation

ČERMÁK, J. JÁNSKÝ, J.

Anglický název

Explicit stability conditions for a linear trinomial delay difference equation

Typ

Článek WoS

Jazyk

en

Originální abstrakt

The paper presents a new type of necessary and sufficient conditions for the asymptotic stability of the zero solution of the linear trinomial difference equation with two delays. Compared to the existing criteria, our conditions are fully explicit and simple to analyse. In particular, we show the usefulness of these conditions in the description of appropriate stability sets for the studied difference equation with fixed delays as well as with fixed coefficients. As a by-product, we obtain an explicit criterion guaranteeing that all the zeros of the general three-term polynomial are located inside the unit circle in the complex plane.

Klíčová slova anglicky

Linear delay difference equation; asymptotic stability; characteristic polynomial

Vydáno

2015-05-01

Nakladatel

Elsevier

ISSN

0893-9659

Časopis

Applied Mathematics Letters

Ročník

43

Číslo

5

Strany od–do

56–60

Počet stran

5

BIBTEX


@article{BUT110776,
  author="Jan {Čermák} and Jiří {Jánský}",
  title="Explicit stability conditions for a linear trinomial delay difference equation",
  journal="Applied Mathematics Letters",
  year="2015",
  volume="43",
  number="5",
  pages="56--60",
  doi="10.1016/j.aml.2014.11.014",
  issn="0893-9659"
}