PRACTICAL STABILITY AND BOUNDEDNESS CRITERIA OF IMPULSIVE DIFFERENTIAL SYSTEM

PRACTICAL STABILITY AND BOUNDEDNESS CRITERIA OF IMPULSIVE DIFFERENTIAL SYSTEM

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

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Abstract

In this paper, an impulsive dierential system is investigated for the rst time for practical stability and boundedness criteria with respect to initial time dier- ence. The investigations are carried out by perturbing Lyapunov functions and by using comparison results. A generalized Lyapunov function has been used for the investiga- tion. The present results indicate that the stability criteria signicantly depend on the moment of impulses.

Keywords

Impulsive dierential system, practical stability, boundedness, perturbed Lya- punov function, initial time dierence