Detail publikace
On stability and stabilization of some discrete dynamical systems
ČERMÁK, J. JÁNSKÝ, J. MATSUNAGA, H.
Anglický název
On stability and stabilization of some discrete dynamical systems
Typ
Článek WoS
Jazyk
en
Originální abstrakt
The paper formulates effective and non-improvable stability conditions for a linear difference system involving two integer delays. The utilized technique combines algorithm of the discrete D-decomposition method with some procedures of the polynomial theory. Contrary to the related existing results, the derived conditions are fully explicit with respect to both delays which enables their simple applicability in various scientific and engineering areas. As an illustration, we show their importance in delayed feedback controls of discrete dynamical systems, with a particular emphasize put on stabilization of unstable steady states of the discrete logistic map.
Klíčová slova anglicky
Stability theory; difference equation; characteristic polynomial: location of zeros, stabilization of systems by feedback
Vydáno
2018-07-15
Nakladatel
John Wiley & Sons Ltd
Místo
RIVER ST, HOBOKEN 07030-5774, NJ USA
ISSN
0170-4214
Časopis
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Ročník
41
Číslo
10
Strany od–do
3684–3695
Počet stran
12
BIBTEX
@article{BUT154981,
author="ČERMÁK, J. and JÁNSKÝ, J. and MATSUNAGA, H.",
title="On stability and stabilization of some discrete dynamical systems",
journal="MATHEMATICAL METHODS IN THE APPLIED SCIENCES",
year="2018",
volume="41",
number="10",
pages="3684--3695",
doi="10.1002/mma.4855",
issn="0170-4214",
url="https://doi.org/10.1002/mma.4855"
}