Detail publikace

Exponential stability of perturbed linear discrete systems

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

Originální název

Exponential stability of perturbed linear discrete systems

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

exponential stability; Lyapunov function; delay

Autoři

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

Vydáno

29. 1. 2016

Nakladatel

Springer

ISSN

1687-1847

Periodikum

Advances in Difference Equations

Ročník

2016

Číslo

2

Stát

Spojené státy americké

Strany od

1

Strany do

20

Strany počet

20

URL

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

Plný text v Digitální knihovně

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"
}