LINEARIZED CONTROL-SYSTEMS AND APPLICATIONS TO SMOOTH STABILIZATION

Authors
CORON JM
Citation
Jm. Coron, LINEARIZED CONTROL-SYSTEMS AND APPLICATIONS TO SMOOTH STABILIZATION, SIAM journal on control and optimization, 32(2), 1994, pp. 358-386
Citations number
22
Categorie Soggetti
Controlo Theory & Cybernetics",Mathematics
Journal title
SIAM journal on control and optimization → ACNP
ISSN journal
03630129
Volume
32
Issue
2
Year of publication
1994
Pages
358 - 386
Database
ISI
SICI code
0363-0129(1994)32:2<358:LCAATS>2.0.ZU;2-N
Abstract
For a control system x = f (x, u), the author proves that, for generic feedback laws u such that f (x, u(x)) does not vanish, the linearized control systems around the trajectories of x = f (x, u(x)) have the s ame strong accessibility algebra as f. Applications are given to the s mooth stabilization problem.