On the global uniform stability analysis of non-autonomous dynamical systems: A survey


N. Hadj Taieb, M.A. Hammami, M. Hammi




In this survey, we introduce the notion of stability of time varying nonlinear systems. In particular we investigate the notion of global practical exponential stability for non-autonomous systems. The proposed approach for stability analysis is based on the determination of the bounds of perturbations that characterize the asymptotic convergence of the solutions to a closed ball centered at the origin.