QUALITATIVE-ANALYSIS OF DYNAMICAL-SYSTEMS DETERMINED BY DIFFERENTIAL-INEQUALITIES WITH APPLICATIONS TO ROBUST STABILITY

In this paper we develop a Lyapunov stability theory for finite dimens ional continuous-time dynamical systems described by a system of first -order ordinary differential inequalities. We utilize this theory to e stablish sufficient robust stability criteria for a large class of fin ite dimensional, continuous-time dynamical systems described by system s of ordinary differential equations. We demonstrate the applicability of the methodology advanced herein by means of a specific example tha t has been considered in the literature. In terms of computational com plexity and conservatism of stability criteria, the present results fr equently offer improvements over existing results.