Sufficient conditions for Lagrange, Mayer, and Bolza optimization problems

Authors
Boltyanski, V
Citation
V. Boltyanski, Sufficient conditions for Lagrange, Mayer, and Bolza optimization problems, MATH PROB E, 7(2), 2001, pp. 177-203
Citations number
13
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL PROBLEMS IN ENGINEERING
ISSN journal
1024123X → ACNP
Volume
7
Issue
2
Year of publication
2001
Pages
177 - 203
Database
ISI
SICI code
1024-123X(2001)7:2<177:SCFLMA>2.0.ZU;2-2
Abstract
The Maximum Principle [2, 13] is a well known necessary condition for optim ality. This condition, generally, is not sufficient. In [3], the author pro ved that if there exists regular synthesis of trajectories, the Maximum Pri nciple also is a sufficient condition for time-optimality. In this article, we generalize this result for Lagrange, Mayer, and Bolts optimization prob lems.