Detail publikace

Exponential stability of perturbed linear discrete systems

Originální název

Exponential stability of perturbed linear discrete systems

Anglický název

Exponential stability of perturbed linear discrete systems

Jazyk

en

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.

Anglický 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.

Plný text v Digitální knihovně

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"
}