Extension of the local maximum principle to abnormal optimal control problems

DOI10.1007/BF00940455zbMath0796.49020OpenAlexW2001492264MaRDI QIDQ1321357

Urszula Łedzewicz-Kowalewska

Publication date: 27 April 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00940455

zbMATH Keywords

optimal controllocal maximum principleDubovitskij-Milyutin methodnonregular operatorsabnormal caseLusternik theoremterminal data

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15)

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Cites Work

• Necessary extremum conditions for smooth anormal problems with equality- and inequality-type constraints
• Optimal periodic control
• Higher order necessary conditions in abstract mathematical programming
• Some properties of cones in normed spaces and their application to investigating extremal problems
• Second-order conditions for extremum problems with nonregular equality constraints
• Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
• Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
• Necessary and sufficient conditions for optimality of p-th order
• On some specification of the Dubovitskii-Milyutin method
• Application of some specification of the Dubovitskii-Milyutin method to problems of optimal control
• CONDITIONS OF HIGH ORDER FOR A LOCAL MINIMUM IN PROBLEMS WITH CONSTRAINTS
• A unified theory of first and second order conditions for extremum problems in topological vector spaces
• The High Order Maximal Principle and Its Application to Singular Extremals
• First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
• Second Order Controllability and Optimization with Ordinary Controls
• On Second Order Necessary Conditions of Optimality
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