Detail publikačního výsledku

Explicit stability conditions for a linear trinomial delay difference equation

ČERMÁK, J.; JÁNSKÝ, J.

Originální název

Explicit stability conditions for a linear trinomial delay difference equation

Anglický název

Explicit stability conditions for a linear trinomial delay difference equation

Druh

Článek WoS

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.

Anglický 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

Linear delay difference equation; asymptotic stability; characteristic polynomial

Klíčová slova v angličtině

Linear delay difference equation; asymptotic stability; characteristic polynomial

Autoři

ČERMÁK, J.; JÁNSKÝ, J.

Rok RIV

2016

Vydáno

01.05.2015

Nakladatel

Elsevier

ISSN

0893-9659

Periodikum

Applied Mathematics Letters

Svazek

43

Číslo

5

Stát

Spojené státy americké

Strany od

56

Strany do

60

Strany počet

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"
}