Effective content of the calculus of variations. I: Semi-continuity and the chattering lemma (Q1919765)
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scientific article; zbMATH DE number 909718
| Language | Label | Description | Also known as |
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| English | Effective content of the calculus of variations. I: Semi-continuity and the chattering lemma |
scientific article; zbMATH DE number 909718 |
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Effective content of the calculus of variations. I: Semi-continuity and the chattering lemma (English)
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10 April 1997
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The authors consider the existence theorem in the calculus of variations. The semi-continuous functions algorithms have been studied, which allows to obtain an effective version of the ``chattering lemma'' of control theory and differential equations. Thus the computational content of the theory of relaxed optimal control can be explained.
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chattering lemma
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constructive analysis
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semi-continuity
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existence theorem in the calculus of variations
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control theory
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differential equations
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computational content
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relaxed optimal control
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