On Stability in Impulsive Dynamical Systems

• Autorzy: Krzysztof Ciesielski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H20: Topological dynamics
• 34A37: Differential equations with impulses
• 37B25: Lyapunov functions and stability; attractors, repellers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 1
• Strony: 81-91

Daty

wydano

2004

Twórcy

autor

Krzysztof Ciesielski

• Mathematics Institute, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/ba52-1-9