Lagrange multipliers in dynamic optimization

An approach for studying optimization problems in abstract setting is presented and a general Lagrange multiplier rule is formulated. It is described how to apply this result to the basic problem of calculus of variations with pure state constraints of equality- type, as well as to a Mayer optimal control problem with pure state constraints.

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Publication Details

Journal
Mathematics and Education in Mathematics
Published
2025-03-27
DOI
https://doi.org/10.55630/mem.2025.54.009-017
Citations
1
Primary Topic
Advanced Optimization Algorithms Research
Type
article
Field-Weighted Citation Impact
2.63
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article

Lagrange multipliers in dynamic optimization

Надежда Рибарска, Mikhail Krastanov
1 citations
Mathematics and Education in Mathematics
Advanced Optimization Algorithms Research
2.63
article

Lagrange multipliers in dynamic optimization

Надежда Рибарска, Mikhail Krastanov
article en
1 citations

Abstract

An approach for studying optimization problems in abstract setting is presented and a general Lagrange multiplier rule is formulated. It is described how to apply this result to the basic problem of calculus of variations with pure state constraints of equality- type, as well as to a Mayer optimal control problem with pure state constraints.

Mathematics and Education in MathematicsVol. 54
Bulgarian Academy of Sciences (BG), Institute of Mathematics and Informatics (BG), Sofia University "St. Kliment Ohridski" (BG)
Openalex Percentile: Top 13%
Advanced Optimization Algorithms Research
2.63
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Lagrange multipliers in dynamic optimization — Надежда Рибарска, Mikhail Krastanov · Mathematics and Education in Mathematics (2025) | TGRS Research Map | TGRS