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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2013 Issue 5, Pages 102–113 (Mi at4985)

This article is cited 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.

Presented by the member of Editorial Board: V. I. Gurman

Received: 06.07.2012


 English version:
Automation and Remote Control, 2013, 74:5, 802–810

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