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Avtomatika i Telemekhanika, 2009, Issue 4, Pages 179–189 (Mi at462)  
Applications

Approximate solution of two-point boundary value problems for linear in control systems

E. F. Sachkova

Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalesskii, Russia
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Abstract: The two-point boundary value problem for nonlinear systems, linear in unbounded control, is considered. For three-dimensional systems we present a local algorithm of approximate solution to the control problem. On the basis of this algorithm were constructed algorithms of approximate solution to the control problem on the $3$-dimensional integral manifold (orbit) of $n$-dimensional systems with $2$-dimensional control. Demonstrating examples are presented.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 01.10.2008
English version:
Automation and Remote Control, 2009, Volume 70, Issue 4, Pages 728–738
DOI: https://doi.org/10.1134/S0005117909040195
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: E. F. Sachkova, “Approximate solution of two-point boundary value problems for linear in control systems”, Avtomat. i Telemekh., 2009, no. 4, 179–189; Autom. Remote Control, 70:4 (2009), 728–738
Citation in format AMSBIB
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