Publication result detail

Exponential stability of perturbed linear discrete systems

DIBLÍK, J.; KHUSAINOV, D.; BAŠTINEC, J.; SIRENKO, A.

Original Title

Exponential stability of perturbed linear discrete systems

English Title

Exponential stability of perturbed linear discrete systems

Type

WoS Article

Original Abstract

The paper considers the problem of exponential stability and convergence rate to solutions of perturbed linear discrete homogeneous systems. New criteria on exponential stability are derived by using the second method of Lyapunov. We consider non-delayed systems as well as systems with a single delay. Simultaneously, explicit exponential estimates of the solutions are derived. The results are illustrated by examples.

English abstract

The paper considers the problem of exponential stability and convergence rate to solutions of perturbed linear discrete homogeneous systems. New criteria on exponential stability are derived by using the second method of Lyapunov. We consider non-delayed systems as well as systems with a single delay. Simultaneously, explicit exponential estimates of the solutions are derived. The results are illustrated by examples.

Keywords

exponential stability; Lyapunov function; delay

Key words in English

exponential stability; Lyapunov function; delay

Authors

DIBLÍK, J.; KHUSAINOV, D.; BAŠTINEC, J.; SIRENKO, A.

RIV year

2017

Released

29.01.2016

Publisher

Springer

ISBN

1687-1847

Periodical

Advances in Difference Equations

Volume

2016

Number

2

State

United States of America

Pages from

1

Pages to

20

Pages count

20

URL

http://www.advancesindifferenceequations.com/content/2016/1/2

Full text in the Digital Library

http://hdl.handle.net/11012/137376

BibTex

@article{BUT128507,
  author="Josef {Diblík} and Denys {Khusainov} and Jaromír {Baštinec} and Andrii {Sirenko}",
  title="Exponential stability of perturbed linear discrete systems",
  journal="Advances in Difference Equations",
  year="2016",
  volume="2016",
  number="2",
  pages="1--20",
  doi="10.1186/s13662-015-0738-6",
  issn="1687-1847",
  url="http://www.advancesindifferenceequations.com/content/2016/1/2"
}

Documents

s13662-015-0738-6