Vol.3, No 14, 2003 pp. 851-859
UDC 517.9
Invited Paper
IMPULSIVE HYBRYD FUZZY DIFFERENTIAL EQUATIONS
A. S. Vatsala
Department of Mathematics, University of Lousiana at Lafayette
Lafayette, LA, 70504-1010, USA
Abstract. In this paper, we suggest another approach to incorporate
impulsive nature into fuzzy differential equations so that one can control
the behavior of solutions suitably without replacing fuzzy differential
equations by other formulations. We develop the comparison theorems for
fuzzy impulsive hybrid systems to establish Lyaponov stability results
in terms of two measures differential equations.
Keywords and Phrases: Fuzzy Hybrid systems, Impulsive differential
Equations
IMPULSIVNE HIBRIDNE FAZI-DIFERENCIJALNE
JEDNAČINE
U ovom radu se predlaže drugi pristup uvodjenja inpulsivne prirode u fazi
diferencijalne jednačine tako da one mogu upravljati ponašanjem rešenja
prigodno bez prevodjenja fazi-diferencijalnih jednačina u druge formulacije.
Mi razvijamo teoreme uporedjenja za fazi impulsivne hibridne sisteme radi
postavljanja rezultata Lyapunovljeve stabilnosti u formi dve mere
diferencijalnih jednačina.
Ključne reči i rečenice (fraze): Fazi hibridni sistemi, Impulsivne
differencijalne jednačine.
