Stable Sequential Pontryagin Maximum Principle in Optimal Control Problems with Phase Restrictions

In this paper, we obtain optimality conditions in an optimal control problem with pointwise phase constraints of the equality and inequality types treated as constraints in a Hilbert space. The main results of this work are the regularized Lagrange principle stable under errors of source data and th...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 263; no. 5; pp. 698 - 709
Main Authors Kuterin, F. A., Evtushenko, A. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.06.2022
Springer
Springer Nature B.V
Subjects
Hilbert space
Mathematics
Mathematics and Statistics
Maximum principle
Optimal control
Optimization
dual regularization
optimal control
iterative dual regularization
47A52
93C15
ill-posed problem
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Summary:In this paper, we obtain optimality conditions in an optimal control problem with pointwise phase constraints of the equality and inequality types treated as constraints in a Hilbert space. The main results of this work are the regularized Lagrange principle stable under errors of source data and the pointwise Pontryagin maximum principle in the iterative form, which, in turn, yield a functional method of constructing a minimizing approximate solution to the problem considered.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05960-3