Lp-stability analysis of a class of nonlinear fractional differential equations

Samir Ladaci (1) , Emmanuel Moulay (2)

1 LAS - Laboratoire d'Automatique de Skikda
2 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes

—This paper investigates the Lp-stability properties of fractional nonlinear differential equations. Systems defined on a finite time interval are considered. The principal contributions are summarized in a theorem which give suffient conditions for bounded stability of fractional order systems. We show that the proposed results can not be extended to the case of systems defined on an infinite time interval.

Domaines: Automatique / Robotique

Samir Ladaci, Emmanuel Moulay. Lp-stability analysis of a class of nonlinear fractional differential equations. International Conference on Electrical Engineering Design and Technologie, 2007, Hammamet, Tunisia. ⟨hal-00177566⟩