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Avtomatika i Telemekhanika, 2008, Issue 3, Pages 51–59 (Mi at620)  
This article is cited in 7 scientific papers (total in 7 papers)

Systems with Lumped Parameters

Realization of sliding modes as generalized solutions to optimal control problems

V. I. Gurmana, Ni Ming Kangb

a Program Systems Institute of RAS, Pereslavl'-Zalesskii, Russia
b East China Normal University, Shanghai, Republic of China
Full-text PDF (216 kB) Citations (7)
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Abstract: Consideration is given to the problem of realization of generalized solutions of different nature in classes of admissible models traditional for applications for optimal control problems. The main attention is focused on sliding modes in systems with a bounded set of velocities (velocity hodograph). Constructive correction schemes for elements of the sequence converging to the sliding mode are specified so that they are strictly admissible. This defines the procedure for constructing a minimizing sequence the elements of which are approximate optimal practically realizable solutions to estimates of accuracy.
Presented by the member of Editorial Board: V. N. Bukov

Received: 16.01.2007
English version:
Automation and Remote Control, 2008, Volume 69, Issue 3, Pages 394–401
DOI: https://doi.org/10.1134/S0005117908030053
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: V. I. Gurman, Ni Ming Kang, “Realization of sliding modes as generalized solutions to optimal control problems”, Avtomat. i Telemekh., 2008, no. 3, 51–59; Autom. Remote Control, 69:3 (2008), 394–401
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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