A stability test for non-commensurate fractional order systems

Jocelyn Sabatier (1) , Christophe Farges (2) , Jean-Claude Trigeassou (1)

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

This paper presents a necessary and sufficient condition to evaluate non-commensurate fractional order systems Bounded Input, Bounded Output stability. This condition is based on an algorithm that relies on a recursively defined closed-loop realization of the system and involves Cauchy's theorem. Its efficiency is attested by several numerical examples.

Mots clés: Fractional order systems; stability; Cauchy's theorem

Domaines: Automatique

Jocelyn Sabatier, Christophe Farges, Jean-Claude Trigeassou. A stability test for non-commensurate fractional order systems. Systems and Control Letters, 2013, 62, pp.739-746. ⟨10.1016/j.sysconle.2013.04.008⟩. ⟨hal-00838778⟩