A dual dynamic programming for minimax optimal control problems governed by parabolic equation

DOI10.1080/02331930903104390zbMath1231.49007OpenAlexW2029792629WikidataQ104413722 ScholiaQ104413722MaRDI QIDQ2996808

Iwona Nowakowska, Andrzej F. Nowakowski

Publication date: 3 May 2011

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930903104390

zbMATH Keywords

parabolic equationoptimal control problemverification theoremdual dynamic programmingdual feedback controldifferential game theory

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Feedback control (93B52) Existence of solutions for minimax problems (49J35)

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Cites Work

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• Multidimensional dual dynamic programming
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• Differential Games of Generalized Pursuit and Evasion
• The Dynamic Programming Equation for the Time-Optimal Control Problem in Infinite Dimensions
• 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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