Email this article A Nonlinear Two-Dimensional Time-Optimal Control Problem
- Authors: Novikova A.O.1
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Affiliations:
- Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
- Issue: Vol 28, No 4 (2017)
- Pages: 478-503
- Section: Article
- URL: https://ogarev-online.ru/1046-283X/article/view/247650
- DOI: https://doi.org/10.1007/s10598-017-9376-z
- ID: 247650
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Abstract
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.
About the authors
A. O. Novikova
Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Email: cmm@cs.msu.ru
Russian Federation, Moscow
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