Geodesic
On Stability in Impulsive Dynamical Systems
Krzysztof Ciesielski1
1 Mathematics Institute Jagiellonian University Reymonta 4 30-059 Kraków, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 1, pp. 81-91.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba52-1-9
Keywords: several results stability impulsive dynamical systems proved first main result gives equivalent conditions stability compact set particular generalization uras theorem impulsive systems shown second main theorem says under additional assumptions every component stable set stable several examples indicating possible complicated phenomena impulsive systems presented

Krzysztof Ciesielski 1

1 Mathematics Institute Jagiellonian University Reymonta 4 30-059 Kraków, Poland 
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Krzysztof Ciesielski. On Stability in Impulsive Dynamical Systems. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 1, pp. 81-91. doi : 10.4064/ba52-1-9. http://geodesic.mathdoc.fr/articles/10.4064/ba52-1-9/

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