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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 262, Pages 240–252
(Mi tm777)
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This article is cited in 1 scientific paper (total in 1 paper)
Optimal Synthesis in a Control Problem with Lipschitz Input Data
N. N. Subbotina, T. B. Tokmantsev Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
We propose a numerical algorithm for constructing an optimal synthesis in the control problem for a nonlinear system on a fixed time interval. We estimate the difference between the values of the cost functional on optimal trajectories and on the trajectories constructed according to this algorithm. The operation of the algorithm is illustrated by solving model examples on the plane.
Received in April 2007
Citation:
N. N. Subbotina, T. B. Tokmantsev, “Optimal Synthesis in a Control Problem with Lipschitz Input Data”, Optimal control, Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday, Trudy Mat. Inst. Steklova, 262, MAIK Nauka/Interperiodica, Moscow, 2008, 240–252; Proc. Steklov Inst. Math., 262 (2008), 231–243
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https://www.mathnet.ru/eng/tm777 https://www.mathnet.ru/eng/tm/v262/p240
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