Partial stability criteria for time-varying nonlinear systems

Abstract In this paper we investigate the practical partial asymptotic and exponential stabilityof time-varying nonlinear systems. We derive some sufficient conditions that guaranteepractical partial stability of a large class of perturbed systems using Lyapunov’s theorywhere a converse theorem is presented. Therefore, we generalized some works which arealready made in the literature. Furthermore, some examples are presented. 2000 Mathematics Subject Classification: 34D20, 37B25, 37B55.