[en] Input-output stability results for feedback systems are developed. Robust stability conditions are presented for nonlinear systems with nonlinear uncertainty defined by some function (with argument equal to the norm of the input) that bounds its output norm. A sufficient small gain theorem for a class of these systems is presented. Then it is also shown that, for the vector spaces (l∞, ||·||∞) and (l2, ||·||2), the sufficient conditions are also necessary with some additional assumptions on the systems. These results capture the conservatism of the small gain theorem as it is applied to systems that do not need to have linear gain.
Disciplines :
Ingénierie électrique & électronique
Auteur, co-auteur :
GONCALVES, Jorge ; University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
Dahleh, M. A.
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Necessary and sufficient conditions for robust stability of a class of nonlinear systems
Date de publication/diffusion :
1995
Nom de la manifestation :
34th IEEE Conference on Decision and Control
Lieu de la manifestation :
New Orleans, Etats-Unis
Date de la manifestation :
13-15 December, 1995
Titre de l'ouvrage principal :
Proceedings of the 34th IEEE Conference on Decision and Control
