Abstract:
We give strict justification for derivative formulas of functionals in problems approximating free time optimal control problems in the frame of sliding nodes method and control parametrization technique. As example we present results of numerical solution for landing on the Moon problem.
Keywords:
free time optimal control problem, control parametrization technique, sliding nodes method.
Received: 19.04.2018
Bibliographic databases:
Document Type:
Article
UDC:517.977.56
Language: Russian
Citation:
A. V. Chernov, “On differentiation of functionals of approximating problems in the frame of solution of free time optimal control problems by the sliding nodes method”, Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018), 861–876
\Bibitem{Che18}
\by A.~V.~Chernov
\paper On differentiation of functionals of approximating problems in the frame of solution of free time optimal control problems by the sliding nodes method
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 124
\pages 861--876
\mathnet{http://mi.mathnet.ru/vtamu29}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-124-861-876}
\elib{https://elibrary.ru/item.asp?id=36239277}
Linking options:
https://www.mathnet.ru/eng/vtamu29
https://www.mathnet.ru/eng/vtamu/v23/i124/p861
This publication is cited in the following 1 articles:
A. V. Chernov, “O gibkosti sistemy ogranichenii pri approksimatsii zadach optimalnogo upravleniya”, Izv. IMI UdGU, 59 (2022), 114–130