Pontryagin principle for state-constrained control problems governed by a first-order PDE system

DOI10.1023/A:1026481403476zbMath0974.49011OpenAlexW97926557MaRDI QIDQ5925725

Marcus M. Wagner, Sabine Pickenhain

Publication date: 19 February 2001

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

Full work available at URL: https://doi.org/10.1023/a:1026481403476

zbMATH Keywords

optimal controlfirst-order necessary conditionsfirst-order systemLagrange multipliersmaximum principlemultidimensional control problemsPontryagin principleregularitysolutions of first Baire classstate constraintsYoung measure relaxation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20)

Related Items (5)

ε-Optimal Value and Approximate Multidimensional Dual Dynamic Programming ⋮ Piecewise continuous controls in Dieudonné-Rashevsky type problem ⋮ Minimizing sequences in class-qualified deposit problems ⋮ Guaranteed satisfaction of inequality state constraints in PDE-constrained optimization ⋮ Pontryagin's maximum principle for multidimensional control problems in image processing

Cites Work

• Principles of optimal control theory. Translated from Russian by Karol Makowski. Translation editor Leonard D. Berkovitz
• A Pointwise maximum principle in optimal control with multiple integrals^**Dedicated to the 65th birthday of Prof. Dr. R. Klötzler$ef:
• Erweiterung von mehrdimensionalen steuerungspromemen und dualität
• Optimization and nonsmooth analysis
• Pontryagin’s Maximum Principle for DieudonnÉ-Rashevsky Type Problems Involving Lipschitz Functions
• Separation Properties of Convex Cones
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