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Theses

Sur la stabilisation globale de systèmes non linéaires par retour d'état régulier

Abstract : This thesis contains some results on the global stabilization of nonlinear systems by smooth feedback.It is divided in for parts. The first one represents a recall of classical results on the stability and stabilization of non linear systems. The second one proposes a simple and general form of a result concerning the affine in controls sytems with dissipative drift (Jurdjevic-Quinn method). A series of theorical and pratical examples is studied. The third part presents a reduction principale for stabilization of systems : this result represents a generalization of the classical lemme of integrators. To illustrate the contribution of this method, some examples of the literature are studied. The goal of the last part is the study of the stabilization of angular velocity equations of a rigid body
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Rachid Outbib. Sur la stabilisation globale de systèmes non linéaires par retour d'état régulier. Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 1994. Français. ⟨NNT : 1994METZ004S⟩. ⟨tel-01776034⟩

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