On stability of commensurate fractional systems

Jocelyn Sabatier (1) , Christophe Farges (1)

1 IMS - Laboratoire de l'intégration, du matériau au système

This paper proposes a new proof of the Matignon's stability theorem extended to fractional orders nu such that 1 < nu < 2 . This proof is based on a closed loop realization of the system modes and the application of the Nyquist theorem.

Mots clés: Fractional systems; Stability; Nyquist theorem

Domaines: Automatique

Jocelyn Sabatier, Christophe Farges. On stability of commensurate fractional systems. IFAC Workshop on Fractional Differentiation and Its Applications 2010 (FDA'10), Oct 2010, Badajoz, Spain. ⟨hal-00532908⟩