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On The Practical Stabilization of Dynamical Systems With Application

Abstract In this paper, we investigate the problem of exponential stabilization of a class of nonlinear time varying systems. We use Lyapunov techniques to obtain exponential stability of the system in closed-loop with a controller in presence of nonlinear perturbation. The convergence of solutions are in the sense that they converge to a small neighborhood of the origin. An application to a D-C motor is given.