Improvement method based on an approximate representation of the reachableset. The relaxation theorem

Authors
Baturin, VA Goncharova, EV
Citation
Va. Baturin et Ev. Goncharova, Improvement method based on an approximate representation of the reachableset. The relaxation theorem, AUT REMOT R, 60(11), 1999, pp. 1536-1544
Citations number
11
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
AUTOMATION AND REMOTE CONTROL
ISSN journal
00051179 → ACNP
Volume
60
Issue
11
Year of publication
1999
Part
1
Pages
1536 - 1544
Database
ISI
SICI code
0005-1179(199911)60:11<1536:IMBOAA>2.0.ZU;2-R
Abstract
A method of successive improvement of a controlled process based on the ide a of local approximation of the reachable set is considered. A condition gu aranteeing the relaxation property of resulting algorithms is derived; rela tions between this condition and a necessary condition for optimality are s tudied for a problem with no constraints on the control.