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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 7, Pages 1241–1250 (Mi zvmmf442)  
A method for solving a boundary problem for a nonlinear controlled system

A. N. Kvitko

St. Petersburg State University, Universitetskii pr. 35, St. Petersburg, 198504, Russia
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Abstract: An algorithm is proposed for constructing a control function that transfers a wide class of nonlinear systems of ordinary differential equations from an initial state to an arbitrarily small neighborhood of a given terminal state. The algorithm is convenient for numerical implementation. Taking into account the restrictions on the control and phase coordinates, a constructive criterion is obtained for choosing terminal states for which this transfer is possible. The problem of an interorbital flight is considered and modeled numerically.
Key words: controlled system, boundary conditions, stabilization, phase coordinates.
Received: 18.04.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 7, Pages 1176–1185
DOI: https://doi.org/10.1134/S0965542506070086
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. N. Kvitko, “A method for solving a boundary problem for a nonlinear controlled system”, Zh. Vychisl. Mat. Mat. Fiz., 46:7 (2006), 1241–1250; Comput. Math. Math. Phys., 46:7 (2006), 1176–1185
Citation in format AMSBIB
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\by A.~N.~Kvitko
\paper A~method for solving a~boundary problem for a~nonlinear controlled system
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 7
\pages 1241--1250
\mathnet{http://mi.mathnet.ru/zvmmf442}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2500580}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 7
\pages 1176--1185
\crossref{https://doi.org/10.1134/S0965542506070086}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746763501}
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    References:35
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