ASYMPTOTIC STABILITY OF A CLASS OF NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

Abstract

This paper studies the asymptotic stability of a class of nonlinear functional differential equations. The system is allowed to be time-varying and time-delayed in nonlinear perturbations. The obtained results are based on an extending a Lyapunov equation to time-varying case and a generalization of the Gronwall inequality. Simple procedure to find the stability upper bound for the system is given.