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ČERMÁK, J. JÁNSKÝ, J.
Originální název
Explicit stability conditions for a linear trinomial delay difference equation
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
The paper presents a new type of necessary and sufficient conditions for the asymptotic stability of the zero solution of the linear trinomial difference equation with two delays. Compared to the existing criteria, our conditions are fully explicit and simple to analyse. In particular, we show the usefulness of these conditions in the description of appropriate stability sets for the studied difference equation with fixed delays as well as with fixed coefficients. As a by-product, we obtain an explicit criterion guaranteeing that all the zeros of the general three-term polynomial are located inside the unit circle in the complex plane.
Klíčová slova
Linear delay difference equation; asymptotic stability; characteristic polynomial
Autoři
ČERMÁK, J.; JÁNSKÝ, J.
Rok RIV
2015
Vydáno
1. 5. 2015
Nakladatel
Elsevier
ISSN
0893-9659
Periodikum
APPLIED MATHEMATICS LETTERS
Ročník
43
Číslo
5
Stát
Spojené státy americké
Strany od
56
Strany do
60
Strany počet
BibTex
@article{BUT110776, author="Jan {Čermák} and Jiří {Jánský}", title="Explicit stability conditions for a linear trinomial delay difference equation", journal="APPLIED MATHEMATICS LETTERS", year="2015", volume="43", number="5", pages="56--60", doi="10.1016/j.aml.2014.11.014", issn="0893-9659" }