On stability of fractional order systems

Jocelyn Sabatier (1) , Mathieu Moze (1) , Christophe Farges (1)

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

This paper presents an overview of the results dedicated to fractional order systems stability analysis. After a presentation of the important definitions and results about stability, the focus is put on stability conditions involving Linear Matrix Inequalities (LMI). Some of them are already available in the literature, other are new. These conditions are applied to the gain margin computation of a CRONE suspension.

Mots clés: Fractional systems; Stability; Linear Matrix Inequalities

Domaines: Automatique

Jocelyn Sabatier, Mathieu Moze, Christophe Farges. On stability of fractional order systems. Third IFAC workshop on fractional differentiation and its applications FDA'08, Nov 2008, Ankara, Turkey. ⟨hal-00322949⟩