Title :
Stabilization of a class of nonlinear affine fractional-order systems using generalizations of Bellman-Gronwall lemma
Author :
N´Doye, Ibrahima ; Zasadzinski, Michel ; Radhy, Nour-eddine ; Bouaziz, Abdelhaq
Author_Institution :
Centre de Rech. en Autom. de Nancy, Nancy Univ., Longwy, France
Abstract :
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.
Keywords :
asymptotic stability; calculus; difference equations; linear systems; matrix algebra; nonlinear control systems; state feedback; Bellman-Gronwall lemma; asymptotic stabilization; fractional calculus; linear state feedback stabilization; matrix; nonlinear affine fractional-order differential equation; Automatic control; Automation; Control systems; Dielectrics; Displays; Elasticity; Nonlinear control systems; State feedback; Symmetric matrices; Viscosity; Nonlinear Affine fractional-order systems; generalization of Bellman-Gronwall lemma; nonlinear and linear state feedback; stabilization;
Conference_Titel :
Control and Automation, 2009. MED '09. 17th Mediterranean Conference on
Conference_Location :
Thessaloniki
Print_ISBN :
978-1-4244-4684-1
Electronic_ISBN :
978-1-4244-4685-8
DOI :
10.1109/MED.2009.5164561
