Dynamic vs static scaling: an existence result

Laurent Praly (1) , D. Carnevale (2) , Alessandro Astolfi (3)

1 CAS - Centre Automatique et Systèmes
2 Università degli Studi di Roma Tor Vergata [Roma] = University of Rome Tor Vergata
3 EEE Department

The relation between static and dynamic control Lyapunov functions scaling is discussed. It is shown that, under some technical assumptions, stabilizability by means of static scaling implies stabilizability by means of dynamic scaling. A motivating example and a worked out design example complement the theoretical part.

Mots clés: Stability; Lyapunov functions; dynamic scaling

Domaines: Automatique / Robotique

Laurent Praly, D. Carnevale, Alessandro Astolfi. Dynamic vs static scaling: an existence result. 8th IFAC Symposium on Nonlinear Control Systems, Sep 2010, Bologna, Italy. pp.1075-1080. ⟨hal-00541533⟩