Mathematical Problems in Engineering
Volume 7 (2001), Issue 2, Pages 177-203
doi:10.1155/S1024123X01001600
Sufficient conditions for Lagrange, Mayer, and Bolza optimization problems
CIMAT, A.P. 402, 36000 Guanajuato, GTO, Mexico
Received 7 February 2000
Copyright © 2001 V. Boltyanski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The Maximum Principle [2,13] is a well known necessary condition for optimality. This condition, generally, is not sufficient. In [3], the author proved that if there exists regular synthesis of trajectories, the Maximum Principle also is a sufficient condition for time-optimality. In this article, we generalize this result for Lagrange, Mayer, and Bolza optimization problems.