NON AUTONOMOUS AFFINE SYSTEMS: CONTROL LYAPUNOV FUNCTION AND THE STABILIZATION PROBLEM

https://doi.org/10.3182/20050703-6-CZ-1902.00716Get rights and content

Abstract

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

Keywords

Stabilization
control Lyapunov functions
non linear non autonomous systems

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Partially supported by programs Autoris-TACT 53 and Maths-STIC CNRS 19

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