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A Nonlinear Two-Dimensional Time-Optimal Control Problem

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A two-dimensional time-optimal problem with nonlinear gravity is investigated. The Pontryagin maximum principle is applied to solve the problem. The controllability set is investigated, the extremal control and the extremal time function are determined, optimality is proved by regular synthesis.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, Moscow, Russia

    A. O. Novikova

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  1. A. O. Novikova
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Translated from Problemy Dinamicheskogo Upravleniya, No. 7, 2016, pp. 58–83.

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Novikova, A.O. A Nonlinear Two-Dimensional Time-Optimal Control Problem . Comput Math Model 28, 478–503 (2017). https://doi.org/10.1007/s10598-017-9376-z

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  • DOI: https://doi.org/10.1007/s10598-017-9376-z

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