Non autonomous affine systems: Control Lyapunov Function and

Authors:	Moulay Emmanuel, Ecole Centrale de Lille, France, Metropolitan Perruquetti Wilfrid, Ecole Centrale de Lille, France, Metropolitan
Topic:	2.3 Non-Linear Control Systems
Session:	Nonlinear Stabilization I
Keywords:	Stabilization, control Lyapunov functions, non linear nonautonomous systems

Abstract

Stabilization using the concept of control Lyapunov function isinvestigated for non linear non autonomous systems. First,necessary conditions for stabilization are given. Then, sufficientconditions ensure the existence of continuous stabilizing feedbackfor non autonomous affine systems. Lastly, a generalization ofSontag's formula is given.