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

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

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Article ID: iaor20171887
Volume: 78
Issue: 5
Start Page Number: 847
End Page Number: 857
Publication Date: May 2017
Journal: Automation and Remote Control
Authors: ,
Keywords: simulation
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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