Synthesis and simulation of fractional orthonormal bases

Mohamed Aoun (1, 2) , Rachid R. Malti (1, 2) , Alain Oustaloup (1, 2)

1 IMS - Laboratoire de l'intégration, du matériau au système
2 LAPS - Laboratoire d'Automatique, Productique et Signal

This paper proposes a method for synthesis and simulation of fractional Laguerre, Kautz, and GOB functions. As compared to classical simulation methods, the new one take advantage of recursivity to improve the simulation schema.

Mots clés: simulation; orthogonal functions generalized orthogonal basis; fractional calculus; fractional derivative; dynamical system; identification

Domaines: Automatique / Robotique

Mohamed Aoun, Rachid R. Malti, Alain Oustaloup. Synthesis and simulation of fractional orthonormal bases. 16th IFAC World Congress, Jul 2005, Prague, Czech Republic. pp.02747. ⟨hal-00401608⟩