Asymptotic stability analysis of nonlinear systems with impulsive effects and disturbance input

Abstract

In this paper, a sufficient condition for asymptotic stability of nonlinear systems with impulse time window is derived, which avoids solving linear matrix inequalities.  For the system with disturbance input and bounded gain error due to limit of equipment and technology in practical applications, another sufficient condition is also obtained.  Numerical examples are carried out to validate effectiveness of the proposed results.