Publication detail

Explicit stability conditions for a linear trinomial delay difference equation

ČERMÁK, J. JÁNSKÝ, J.

English title

Explicit stability conditions for a linear trinomial delay difference equation

Type

WoS Article

Language

en

Original abstract

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.

Keywords in English

Linear delay difference equation; asymptotic stability; characteristic polynomial

Released

2015-05-01

Publisher

Elsevier

ISSN

0893-9659

Journal

Applied Mathematics Letters

Volume

43

Number

5

Pages from–to

56–60

Pages count

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"
}