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Avtomatika i Telemekhanika, 2017, Issue 5, Pages 96–109 (Mi at14802)  
System Analysis and Operations Research

On one class of model optimization problems with a continuum of solutions

I. G. Ismailova, Yu. O. Kuznetsov

a Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
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Abstract: We consider critical sets of an $H$-regular functional. We propose a condition under which the set of all critical points forms a critical set. We discuss several problems that lead to such sets and show a connection with the notion of Morse index. As examples we consider integral functionals for functions defined on a segment.
Keywords: optimization, $H$-regular functionals, connectivity principles.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 32.1
This work was done as part of Fundamental Research for topic no. 32.1.
Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 12.10.2015
English version:
Automation and Remote Control, 2017, Volume 78, Issue 5, Pages 847–857
DOI: https://doi.org/10.1134/S0005117917050071
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. G. Ismailov, Yu. O. Kuznetsov, “On one class of model optimization problems with a continuum of solutions”, Avtomat. i Telemekh., 2017, no. 5, 96–109; Autom. Remote Control, 78:5 (2017), 847–857
Citation in format AMSBIB
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