On Stability in Impulsive Dynamical Systems
Volume 52 / 2004
Bulletin Polish Acad. Sci. Math. 52 (2004), 81-91
MSC: Primary 37B25; Secondary 54H20, 34A37.
DOI: 10.4064/ba52-1-9
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.
