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DIBLÍK, J. KHUSAINOV, D. BAŠTINEC, J. SIRENKO, A.
Original Title
Exponential stability of perturbed linear discrete systems
Type
journal article in Web of Science
Language
English
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.
Keywords
exponential stability; Lyapunov function; delay
Authors
DIBLÍK, J.; KHUSAINOV, D.; BAŠTINEC, J.; SIRENKO, A.
Released
29. 1. 2016
Publisher
Springer
ISBN
1687-1847
Periodical
Advances in Difference Equations
Year of study
2016
Number
2
State
United States of America
Pages from
1
Pages to
20
Pages count
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" }