Abstract:
In the nonlinear problems of optimal control, a nonlocal improvement procedure with a linear Skolem's function was constructed for the continuous and discrete systems on the basis of V. F. Krotov's theory of sufficient optimality conditions. Examples, including improvements of the singular and nonsingular Pontryagin extremals, were given.
Presented by the member of Editorial Board:V. I. Gurman
Citation:
O. V. Morzhin, “Nonlocal improvement of nonlinear controlled processes on the basis of sufficient optimality conditions”, Avtomat. i Telemekh., 2010, no. 8, 24–37; Autom. Remote Control, 71:8 (2010), 1526–1539
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\by O.~V.~Morzhin
\paper Nonlocal improvement of nonlinear controlled processes on the basis of sufficient optimality conditions
\jour Avtomat. i Telemekh.
\yr 2010
\issue 8
\pages 24--37
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\jour Autom. Remote Control
\yr 2010
\vol 71
\issue 8
\pages 1526--1539
\crossref{https://doi.org/10.1134/S0005117910080035}
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Linking options:
https://www.mathnet.ru/eng/at863
https://www.mathnet.ru/eng/at/y2010/i8/p24
This publication is cited in the following 7 articles:
O. V. Morzhin, “Nelokalnoe uluchshenie upravlenii v nelineinykh diskretnykh sistemakh”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 19 (2017), 150–163
O. V. Morzhin, “Nonlocal improvement of controlling functions and parameters in nonlinear dynamical systems”, Autom. Remote Control, 73:11 (2012), 1822–1837
A. I. Tyatyushkin, O. V. Morzhin, “Numerical investigation of attainability sets of nonlinear controlled differential systems”, Autom. Remote Control, 72:6 (2011), 1291–1300
Morzhin O.V., “Proektsionnye metody nelokalnogo uluchsheniya upravlyayuschikh funktsii i parametrov”, Vestnik Buryatskogo gosudarstvennogo universiteta, 2011, no. 9, 31–35
O. V. Baturina, A. V. Bulatov, O. V. Morzhin, “Algoritmy nelokalnogo uluchsheniya upravlenii v klassakh nelineinykh differentsialnykh sistem”, Programmnye sistemy: teoriya i prilozheniya, 2:5 (2011), 31–48
O. V. Morzhin, “Vychislitelnye aspekty nelokalnogo uluchsheniya upravleniya v differentsialnykh sistemakh”, Programmnye sistemy: teoriya i prilozheniya, 2:2 (2011), 37–51
O. V. Morzhin, “Metody nelokalnogo uluchsheniya v zadachakh optimalnogo upravleniya na osnove tochnykh formul prirascheniya”, Programmnye sistemy: teoriya i prilozheniya, 1:4 (2010), 67–83