On Normality of Lagrange Multipliers for State Constrained Optimal Control Problems

DOI10.1080/0233193021000058940zbMath1057.49004OpenAlexW2022497341MaRDI QIDQ4707437

Kazimierz Malanowski

Publication date: 7 October 2003

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0233193021000058940

zbMATH Keywords

optimal controlnonlinear systemsordinary differential equationscontrol and state constraintsnormal Lagrange multipliers

Mathematics Subject Classification ID

Controllability (93B05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)

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Cites Work

• Unnamed Item
• On the existence and nonexistence of Lagrange multipliers in Banach spaces
• Regularity and stability for the mathematical programming problem in Banach spaces
• Lipschitz Continuity for Constrained Processes
• Lagrange Duality Theory for Convex Control Problems
• First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
• A Survey of the Maximum Principles for Optimal Control Problems with State Constraints

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