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Avtomatika i Telemekhanika, 2008, Issue 4, Pages 72–80 (Mi at638)  
This article is cited in 7 scientific papers (total in 7 papers)

Systems with Lumped Parameters

Representation and realization of the generalized solutions of the unlimited-locus controllable systems

V. I. Gurman, Yu. L. Sachkov

Program Systems Institute of RAS, Pereslavl-Zalesskii, Russia
Full-text PDF (216 kB) Citations (7)
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Abstract: Consideration was given to various cases of controllability of the limit system describing behavior of a system with unlimited set of rates under (practically sufficiently high) pulse control actions. In compliance with these cases, the structure of the generalized solutions of the initial system was determined as regular solutions of a smaller-order system called the derivative system. Using the facts of the geometrical control theory, proposed was a multistage procedure for construction of the sequences of permissible solutions of the initial system approximating solutions of the derivative system. The presentation was illustrated by an example.
Presented by the member of Editorial Board: V. N. Bukov

Received: 16.01.2007
English version:
Automation and Remote Control, 2008, Volume 69, Issue 4, Pages 609–617
DOI: https://doi.org/10.1134/S0005117908040073
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: V. I. Gurman, Yu. L. Sachkov, “Representation and realization of the generalized solutions of the unlimited-locus controllable systems”, Avtomat. i Telemekh., 2008, no. 4, 72–80; Autom. Remote Control, 69:4 (2008), 609–617
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :98
    References:65
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