A variational approach to problems of optimal control

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1970

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Abstract

An in-depth analysis of a portion of a paper by Berkovitz [2] is detailed, in which it is shown that a general type of control problem may be transformed to a special type of Bolza problem in the calculus of variations. Necessary conditions for the transformed Bolza problem are translated into equivalent necessary conditions for the optimal control problem. Examples are considered using the dynamic programming approach, the Maximum Principle of Pontryagin, and the approach developed herein.

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