On Vector Lyapunov Functions and Uniform Eventual Stability of Nonlinear Impulsive Differential Equations

Abstract

In this paper, the uniform eventual stability of nonlinear impulsive differential equations with fixed moments of impulse is examined using the vector Lyapunov functions which is generalized by a class of piecewise continuous functions. Together with comparison results, sufficient conditions for the uniform eventual stability are presented. Results obtained extends the more restrictive scalar case in the literature to a more comprehensive framework for uniform eventual stability analysis.