IMPACT OF INITIAL TIME DIFFERENCE ON STABILITY CRITERIA OF IMPULSIVE DIFFERENTIAL EQUATIONS

IMPACT OF INITIAL TIME DIFFERENCE ON STABILITY CRITERIA OF IMPULSIVE DIFFERENTIAL EQUATIONS

P. Mahajan, S. K. Srivastava, R. Dogra

[PDF]

Abstract

In this paper, an impulsive dierential system is investigated for the rst time for several stability criteria relative to initial time dierence. The investigations are carried out by perturbing Lyapunov functions and by using comparison results. A generalized Lyapunov function has been used for the investigation.The results that are obtained to investigate the stability signicantly depend on the moment of impulses. An example is given to illustrate the derived result.

Keywords

Impulsive dierential system, stability, perturbed Lyapunov function, initial time dierence.