PARTIAL STABILITY ANALYSIS OF SOME CLASSES OF TIME–VARYING SYSTEMS

Abstract

. In this work, we characterize the partial stability of nonlinear systems via comparison functions. Further, we develop the partial stability of linear time– varying systems within Lyapunov techniques. Moreover, the indirect method of Lyapunov is also investigated to derive the local partial exponential stability. We state sufficient conditions on partial uniform exponential stability and partial practical uniform exponential stability of solutions of linear time–varying perturbed systems. Finally, an illustrative numerical example is provided.