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Sufficient conditions for Lagrange, Mayer, and Bolza optimization problems

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  • V. Boltyanski

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.

Suggested Citation

  • V. Boltyanski, 2001. "Sufficient conditions for Lagrange, Mayer, and Bolza optimization problems," Mathematical Problems in Engineering, Hindawi, vol. 7, pages 1-27, January.
    • Handle: RePEc:hin:jnlmpe:351297
    DOI: 10.1155/S1024123X01001600
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