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

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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.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    I. G. Ismailov

Authors
  1. I. G. Ismailov
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  2. Yu. O. Kuznetsov
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Correspondence to I. G. Ismailov.

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Original Russian Text © I.G. Ismailov, Yu.O. Kuznetsov, 2017, published in Avtomatika i Telemekhanika, 2017, No. 5, pp. 96–109.

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Ismailov, I.G., Kuznetsov, Y.O. On one class of model optimization problems with a continuum of solutions. Autom Remote Control 78, 847–857 (2017). https://doi.org/10.1134/S0005117917050071

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  • DOI: https://doi.org/10.1134/S0005117917050071

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