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Sufficient Conditions for Lagrange, Mayer, and Bolza Optimization Problems

摘要


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.

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