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A Generalization of Michel’s Result on the Pontryagin Maximum Principle

Author

Listed:
  • Joël Blot

    (Université Paris 1 - Panthéon Sorbonne)

  • Hasan Yilmaz

    (Université Paris Diderot)

Abstract

We provide an improvement of the maximum principle of Pontryagin of the optimal control problems, for a system governed by an ordinary differential equation, in the presence of final constraints, in the setting of the piecewise continuously 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.

Suggested Citation

  • Joël Blot & Hasan Yilmaz, 2019. "A Generalization of Michel’s Result on the Pontryagin Maximum Principle," Journal of Optimization Theory and Applications, Springer, vol. 183(3), pages 792-812, December.
    • Handle: RePEc:spr:joptap:v:183:y:2019:i:3:d:10.1007_s10957-019-01587-8
    DOI: 10.1007/s10957-019-01587-8
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