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

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

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 fun...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Automation and remote control 2017-05, Vol.78 (5), p.847-857
Hauptverfasser: Ismailov, I. G., Kuznetsov, Yu. O.
Format: Artikel
Sprache:eng
Schlagworte:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Functionals
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Robotics
System Analysis and Operations Research
Systems Theory
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117917050071