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A time-optimal control problem with gravitational-type nonlinearity

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Abstract

A two-dimensional time-optimal control problem with gravitational-type nonlinearity is investigated. The problem is solved using Pontryagin’s maximum principle. The set of controllability is studied and the boundary value problem of Pontryagin’s maximum principle is solved.

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Correspondence to A. O. Novikova.

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Original Russian Text © A.O. Novikova, 2015, published in Vestnik Moskovskogo Universiteta. Vychislitel’naya Matematika i Kibernetika, 2015, No. 4, pp. 25–31.

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Novikova, A.O. A time-optimal control problem with gravitational-type nonlinearity. MoscowUniv.Comput.Math.Cybern. 39, 168–174 (2015). https://doi.org/10.3103/S0278641915040081

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  • DOI: https://doi.org/10.3103/S0278641915040081

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