On Stability in Impulsive Dynamical Systems

Krzysztof Ciesielski

Bulletin of the Polish Academy of Sciences. Mathematics (2004)

  • Volume: 52, Issue: 1, page 81-91
  • ISSN: 0239-7269

Abstract

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Several results on stability in impulsive dynamical systems are proved. The first main result gives equivalent conditions for stability of a compact set. In particular, a generalization of Ura's theorem to the case of impulsive systems is shown. The second main theorem says that under some additional assumptions every component of a stable set is stable. Also, several examples indicating possible complicated phenomena in impulsive systems are presented.

How to cite

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Krzysztof Ciesielski. "On Stability in Impulsive Dynamical Systems." Bulletin of the Polish Academy of Sciences. Mathematics 52.1 (2004): 81-91. <http://eudml.org/doc/280246>.

@article{KrzysztofCiesielski2004,
abstract = {Several results on stability in impulsive dynamical systems are proved. The first main result gives equivalent conditions for stability of a compact set. In particular, a generalization of Ura's theorem to the case of impulsive systems is shown. The second main theorem says that under some additional assumptions every component of a stable set is stable. Also, several examples indicating possible complicated phenomena in impulsive systems are presented.},
author = {Krzysztof Ciesielski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {stability; Ura's theorem; phenomena in impulsive systems},
language = {eng},
number = {1},
pages = {81-91},
title = {On Stability in Impulsive Dynamical Systems},
url = {http://eudml.org/doc/280246},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Krzysztof Ciesielski
TI - On Stability in Impulsive Dynamical Systems
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 1
SP - 81
EP - 91
AB - Several results on stability in impulsive dynamical systems are proved. The first main result gives equivalent conditions for stability of a compact set. In particular, a generalization of Ura's theorem to the case of impulsive systems is shown. The second main theorem says that under some additional assumptions every component of a stable set is stable. Also, several examples indicating possible complicated phenomena in impulsive systems are presented.
LA - eng
KW - stability; Ura's theorem; phenomena in impulsive systems
UR - http://eudml.org/doc/280246
ER -

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