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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Bibliographic Details
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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Summary: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.
ISSN:1046-283X
1573-837X
DOI:10.1007/s10598-015-9307-9