STABILIZATION OF DISCRETE-TIME NONLINEAR- SYSTEMS

Citation
M. Bensoubaya et al., STABILIZATION OF DISCRETE-TIME NONLINEAR- SYSTEMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(3), 1995, pp. 371-374
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
321
Issue
3
Year of publication
1995
Pages
371 - 374
Database
ISI
SICI code
0764-4442(1995)321:3<371:SODNS>2.0.ZU;2-C
Abstract
We consider discrete-time nonlinear systems, x(k + 1) = f (x(k), u (k) ), f (0, 0) = 0, for which we give a necessary condition for the exist ence of a continuous stabilizing feedback. We also give a sufficient c ondition for the global stabilization of discrete-time nonlinear syste ms affine in controls.