A dual dynamic programming for multidimensional parabolic optimal control problems

DOI10.3166/EJC.12.455-463zbMath1293.90077OpenAlexW2026350400WikidataQ104413738 ScholiaQ104413738MaRDI QIDQ397267

Mohammad Hasan, H. S. Yoon

Publication date: 12 August 2014

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3166/ejc.12.455-463

zbMATH Keywords

parabolic equationoptimal control problemsufficient optimality conditionsverification theoremdual dynamic programmingdual feedback control

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Dynamic programming (90C39)

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Cites Work

• Optimal control problems for nonlinear parabolic boundary control systems: The Dirichlet boundary condition
• Multidimensional dual dynamic programming
• Analysis and control of nonlinear infinite dimensional systems
• The Dynamic Programming Equation for the Time-Optimal Control Problem in Infinite Dimensions
• The Dual Dynamic Programming
• Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
• On the Bellman Equation for the Minimum Time Problem in Infinite Dimensions
• A Dual Dynamic Programming for Multidimensional Elliptic Optimal Control Problems
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