Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation

摘要

The robust stability and stabilization of a class of fractional order systems under input sat­uration is studied using the Lyapunov method. In the problem formulation the Lipchitz and bounded conditions are adopted. Moreover, sufficient conditions, in the form of a Lin­ear Matrix Inequality, for stabilizing the system via a state feedback control, are derived. Two numerical examples show the effectiveness of the proposed technique.