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Avtomatika i Telemekhanika, 1989, Issue 7, Pages 82–90 (Mi at6329)  
This article is cited in 2 scientific papers (total in 2 papers)

Deterministic Systems

A deformational method of studying nonlinear programming problems. I

N. A. Bobylev

Moscow
Full-text PDF (1090 kB) Citations (2)
Abstract: A new approach is proposed to analysis of extremals in nonlinear programming problems whereby the problem is deformed into a simpler analyzable problem. The basic result of the research is a deformational principle of the maximum: if in the course of deformation it stays isolated and minimizes the reference problem then the extremal can also minimize the problem at hand. Applications are indicated to analysis of singular extremals of optimization problems, problems in classical analysis, etc.

Received: 19.11.1987
Bibliographic databases:
Document Type: Article
UDC: 519.853:62-506
Language: Russian
Citation: N. A. Bobylev, “A deformational method of studying nonlinear programming problems. I”, Avtomat. i Telemekh., 1989, no. 7, 82–90; Autom. Remote Control, 50:7 (1989), 917–924
Citation in format AMSBIB
\Bibitem{Bob89}
\by N.~A.~Bobylev
\paper A deformational method of studying nonlinear programming problems. I
\jour Avtomat. i Telemekh.
\yr 1989
\issue 7
\pages 82--90
\mathnet{http://mi.mathnet.ru/at6329}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1017974}
\zmath{https://zbmath.org/?q=an:0705.90084}
\transl
\jour Autom. Remote Control
\yr 1989
\vol 50
\issue 7
\pages 917--924
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  • https://www.mathnet.ru/eng/at/y1989/i7/p82
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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