Abstract:
An algorithm, quite convenient for numerical implementation, is proposed for constructing a differentiable control function that guarantees the transfer of a wide class of nonlinear stationary systems of ordinary differential equations from the initial state to a given final state of the phase space, taking into account control constraints and external perturbations. A constructive criterion guaranteeing this transfer is obtained. The efficiency of the algorithm is illustrated by solving a specific practical problem and its numerical simulation.
Citation:
A. N. Kvitko, “On a method for solving a local boundary value problem for a nonlinear stationary controlled system in the class of differentiable controls”, Zh. Vychisl. Mat. Mat. Fiz., 61:4 (2021), 555–570; Comput. Math. Math. Phys., 61:4 (2021), 527–541
\Bibitem{Kvi21}
\by A.~N.~Kvitko
\paper On a method for solving a local boundary value problem for a nonlinear stationary controlled system in the class of differentiable controls
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2021
\vol 61
\issue 4
\pages 555--570
\mathnet{http://mi.mathnet.ru/zvmmf11221}
\crossref{https://doi.org/10.31857/S0044466921040074}
\elib{https://elibrary.ru/item.asp?id=45545390}
\transl
\jour Comput. Math. Math. Phys.
\yr 2021
\vol 61
\issue 4
\pages 527--541
\crossref{https://doi.org/10.1134/S0965542521040072}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85107022287}
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https://www.mathnet.ru/eng/zvmmf11221
https://www.mathnet.ru/eng/zvmmf/v61/i4/p555
This publication is cited in the following 3 articles:
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