Publication detail
On stability and stabilization of some discrete dynamical systems
ČERMÁK, J. JÁNSKÝ, J. MATSUNAGA, H.
English title
On stability and stabilization of some discrete dynamical systems
Type
journal article in Web of Science
Language
en
Original abstract
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.
English abstract
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.
Keywords in English
Stability theory; difference equation; characteristic polynomial: location of zeros, stabilization of systems by feedback
Released
15.07.2018
Publisher
John Wiley & Sons Ltd
Location
RIVER ST, HOBOKEN 07030-5774, NJ USA
ISSN
0170-4214
Volume
41
Number
10
Pages from–to
3684–3695
Pages count
12
BIBTEX
@article{BUT154981,
author="Jan {Čermák} and Jiří {Jánský},
title="On stability and stabilization of some discrete dynamical systems",
year="2018",
volume="41",
number="10",
month="July",
pages="3684--3695",
publisher="John Wiley & Sons Ltd",
address="RIVER ST, HOBOKEN 07030-5774, NJ USA",
issn="0170-4214"
}