ON THE STABILIZATION IN FINITE-TIME OF LOCALLY CONTROLLABLE SYSTEMS BY MEANS OF CONTINUOUS TIME-VARYING FEEDBACK LAW

Authors
CORON JM
Citation
Jm. Coron, ON THE STABILIZATION IN FINITE-TIME OF LOCALLY CONTROLLABLE SYSTEMS BY MEANS OF CONTINUOUS TIME-VARYING FEEDBACK LAW, SIAM journal on control and optimization, 33(3), 1995, pp. 804-833
Citations number
33
Categorie Soggetti
Controlo Theory & Cybernetics",Mathematics
Journal title
SIAM journal on control and optimization → ACNP
ISSN journal
03630129
Volume
33
Issue
3
Year of publication
1995
Pages
804 - 833
Database
ISI
SICI code
0363-0129(1995)33:3<804:OTSIFO>2.0.ZU;2-#
Abstract
It is proven that, if for any positive time T, there exists an open-lo op control u(a, t) depending continuously on the initial data a, vanis hing for a = 0, and steering a small neighborhood of 0 into 0 in time T, then the control system can be locally stabilized in small time by means of continuous time-varying feedback law, provided that the dimen sion of the state space is at least 4 and the strong accessibility ran k condition holds.