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Optimality Conditions in Control Problems for Systems Described by Equations with Monotone Operators

Necessary and sufficient conditions of optimality are proved for some classes of constrained optimization problems with constraints in the form of operator and differential-operator equations. The optimization problems are considered subject to additional functional constraints. The Pontryagin maxim...

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Published in:	Computational mathematics and modeling 2016, Vol.27 (1), p.122-131
Main Author:	Ismailov, I. G.
Format:	Article
Language:	English
Subjects:	Applications of Mathematics Computational Mathematics and Numerical Analysis Constraints Control systems II. Informatics Lagrange multipliers Mathematical analysis Mathematical Modeling and Industrial Mathematics Mathematical models Mathematics Mathematics and Statistics Maximum principle Operators (mathematics) Optimization
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creator	Ismailov, I. G.
description	Necessary and sufficient conditions of optimality are proved for some classes of constrained optimization problems with constraints in the form of operator and differential-operator equations. The optimization problems are considered subject to additional functional constraints. The Pontryagin maximum principle and the Lagrange multiplier rule are derived for the relevant problems from the optimality conditions proved in this article.
doi_str_mv	10.1007/s10598-015-9307-9
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subjects	Applications of Mathematics Computational Mathematics and Numerical Analysis Constraints Control systems II. Informatics Lagrange multipliers Mathematical analysis Mathematical Modeling and Industrial Mathematics Mathematical models Mathematics Mathematics and Statistics Maximum principle Operators (mathematics) Optimization
title	Optimality Conditions in Control Problems for Systems Described by Equations with Monotone Operators
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