Publication 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

journal article in Web of Science

Language

en

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

Released

29.01.2016

Publisher

Springer

Pages from

1

Pages to

20

Pages count

20

URL

Full text in the Digital Library

BibTex


@article{BUT128507,
  author="Josef {Diblík} and Denys {Khusainov} and Jaromír {Baštinec} and Andrii {Sirenko}",
  title="Exponential stability of perturbed linear discrete systems",
  annote="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.",
  address="Springer",
  chapter="128507",
  doi="10.1186/s13662-015-0738-6",
  howpublished="online",
  institution="Springer",
  number="2",
  volume="2016",
  year="2016",
  month="january",
  pages="1--20",
  publisher="Springer",
  type="journal article in Web of Science"
}