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Necessary Optimality Conditions for Optimal Control Problems in the Presence of Degeneration

  • CONTROL THEORY
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Abstract

We study optimal control problems in which the condition of maximum of the Hamilton–Pontryagin function degenerates for the optimal pair at some point. New additional necessary conditions are obtained for such problems.

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Funding

This work was supported by the Russian Science Foundation, project no. 17-11-01168.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997, Russia

    A. V. Arutyunov & S. E. Zhukovskiy

Authors
  1. A. V. Arutyunov
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  2. S. E. Zhukovskiy
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Correspondence to A. V. Arutyunov or S. E. Zhukovskiy.

Additional information

Translated by V. Potapchouck

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Arutyunov, A.V., Zhukovskiy, S.E. Necessary Optimality Conditions for Optimal Control Problems in the Presence of Degeneration. Diff Equat 56, 238–250 (2020). https://doi.org/10.1134/S0012266120020093

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  • DOI: https://doi.org/10.1134/S0012266120020093

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