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 v časopise ve Web of Science, Jimp

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.

Anglický 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

15.07.2018

Nakladatel

John Wiley & Sons Ltd

Místo

RIVER ST, HOBOKEN 07030-5774, NJ USA

ISSN

0170-4214

Ročník

41

Číslo

10

Strany od–do

3684–3695

Počet stran

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"
}