Contribution à la stabilisation globale de certains systèmes non linéaires

Abstract : This thesis deals with stabilization of some nonlinear systems by state feedback. In the first part, we give a complete classification of a class of bilinear systems in three space with respect to the asymptotic stabilizability with continuous feedback and homogeneous feedback of degree zero. The second part is devoted to the study of homogeneous systems of odd degree : a necessary and sufficient condition of stabilization by means of homogeneous feedbacks of the same odd degree as the vector fields is given. Moreover, we propose an observer for these systems when the output is linear. In the last part, we give a stochastic version of the well-known Jurdjevic-Qiunn's theorem and Arstein's one
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Mohamed Oumoun. Contribution à la stabilisation globale de certains systèmes non linéaires. Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 1995. Français. ⟨NNT : 1995METZ028S⟩. ⟨tel-01777082⟩

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