On the proof of Michel of the maximum Pontryagin Principle

Joël Blot; Hasan Yilmaz

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arXiv · 1904.01254

On the proof of Michel of the maximum Pontryagin Principle

Joël Blot·Hasan Yilmaz

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Abstract

We provide an improvment of the maximum principle of Pon-tryagin of the optimal control problems, for a system governed by an ordinary differential equation, in presence of final constraints, in the setting of the piece-wise differentiable state functions (valued in a Banach space) and of piecewise continuous control functions (valued in a metric space). As Michel we use the needlelike variations, but we introduce tools of functional analysis and a recent multiplier rule of the static optimization to make our proofs. Mathematical Subject Classification 2010: 49K15, 47H10

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Joël Blot, Hasan Yilmaz. 2019-04-02. On the proof of Michel of the maximum Pontryagin Principle. https://arxiv.org/abs/1904.01254

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