TITLE:
Integral Φ0-Stability of Impulsive Differential Equations
AUTHORS:
Anju Sood, Sanjay K. Srivastava
KEYWORDS:
Integral Φ0 -Stability, Cone Valued Lyapunov Functions, Impulsive Differential Equations, Fixed Time Impulses
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.5 No.10,
October
30,
2015
ABSTRACT: In this paper, the notions of integral Φ0-stability of ordinary impulsive differential equations are introduced. The definition of integral Φ0-stability depends significantly on the fixed time impulses. Sufficient conditions for integral Φ0-stability are obtained by using comparison principle and piecewise continuous cone valued Lyapunov functions. A new comparison lemma, connecting the solutions of given impulsive differential system to the solution of a vector valued impulsive differential system is also established.