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Quadratic weak-minimum conditions for optimal control problems with intermediate constraints

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Abstract

Optimal control problems with constraints at intermediate trajectory points are considered. By using a certain natural method (of reproduction of state and control variables), these problems reduce to the standard optimal control problem of Pontryagin type, which allows one to obtain quadratic weak-minimum conditions for them.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Department of Computational Mathematics and Cybernetics, Chair of Optimal Control, Moscow, Russia

    A. M. Kaganovich

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  1. A. M. Kaganovich
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 65, Mathematical Physics, Combinatorics, and Optimal Control, 2009.

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Kaganovich, A.M. Quadratic weak-minimum conditions for optimal control problems with intermediate constraints. J Math Sci 165, 710–731 (2010). https://doi.org/10.1007/s10958-010-9836-x

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  • DOI: https://doi.org/10.1007/s10958-010-9836-x

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