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Avtomatika i Telemekhanika, 2013, Issue 5, Pages 102–113
(Mi at4985)
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This article is cited in 6 scientific papers (total in 6 papers)
Nonlinear Systems
Control optimization in bilinear systems
I. V. Rasinaa, O. V. Baturinab a Siberian Academy of Law, Economics, and Management, Irkutsk, Russia
b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Abstract:
We consider optimization problems for continuous systems linear with respect to state and control. Due to the specifics of such problems (degeneracy, turnpike character of solutions), we propose to use nonlocal Krotov's iterative method together with the Gurman–Dykhta transformation into a regular derivative problem, which significantly improves the efficiency of this method. The proposed procedure is illustrated with an example.
Citation:
I. V. Rasina, O. V. Baturina, “Control optimization in bilinear systems”, Avtomat. i Telemekh., 2013, no. 5, 102–113; Autom. Remote Control, 74:5 (2013), 802–810
Linking options:
https://www.mathnet.ru/eng/at4985 https://www.mathnet.ru/eng/at/y2013/i5/p102
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