Stabilization of a class of nonlinear affine fractional-order systems using generalizations of Bellman-Gronwall lemma

Ibrahima N'Doye (1) , Michel Zasadzinski (1) , Nour-Edine Radhy , Abdelhaq Bouaziz

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper presents a result of stabilization of nonlinear affine fractional-order systems using generalizations of Bellman-Gronwall lemma. Two case are treated : the nonlinear and the linear state feedback stabilization.

Mots clés: Affine fractional-order systems; generalization of Bellman-Gronwall lemma; stabilization

Domaines: Automatique / Robotique

Ibrahima N'Doye, Michel Zasadzinski, Nour-Edine Radhy, Abdelhaq Bouaziz. Stabilization of a class of nonlinear affine fractional-order systems using generalizations of Bellman-Gronwall lemma. 17th Mediterranean Conference on Control and Automation, MED'09, Jun 2009, Thessaloniki, Greece. pp.324-329, ⟨10.1109/MED.2009.5164561⟩. ⟨hal-00411502⟩