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Publication detail
DIBLÍK, J.
Original Title
Exponential stability of linear discrete systems with variable delays via Lyapunov Second method
Type
journal article in Web of Science
Language
English
Original Abstract
The paper investigates the exponential stability of a linear system of difference equations with variable delays. New criteria for exponential stability are derived using the method of Lyapunov functions and formulated in terms of the norms of matrices of linear terms and matrices solving an auxiliary Lyapunov equation. An exponential-type estimate of the norm of solutions is given as well. The efficiency of the derived criteria is numerically demonstrated by examples and their relations to the well-known results are discussed.
Keywords
linear discrete systeme; exponential stability, Lyapunov function
Authors
Released
24. 11. 2017
Publisher
Hindawi
Location
Spojené Státy Americké
ISBN
1026-0226
Periodical
DISCRETE DYNAMICS IN NATURE AND SOCIETY
Year of study
2017
Number
1
State
United States of America
Pages from
Pages to
9
Pages count
URL
https://www.hindawi.com/journals/ddns/2017/7417909/
Full text in the Digital Library
http://hdl.handle.net/11012/193107
BibTex
@article{BUT141742, author="Josef {Diblík}", title="Exponential stability of linear discrete systems with variable delays via Lyapunov Second method", journal="DISCRETE DYNAMICS IN NATURE AND SOCIETY", year="2017", volume="2017", number="1", pages="1--9", doi="10.1155/2017/7417909", issn="1026-0226", url="https://www.hindawi.com/journals/ddns/2017/7417909/" }