A Neumann Boundary Control for Multidimensional Parabolic “Minmax” Control Problems

DOI10.1007/978-0-8176-4834-3_4zbMath1188.49025OpenAlexW1110521WikidataQ104413726 ScholiaQ104413726MaRDI QIDQ3646704

Andrzej F. Nowakowski

Publication date: 27 November 2009

Published in: Advances in Dynamic Games and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-8176-4834-3_4

zbMATH Keywords

parabolic equationdynamic gameverification theoremNeumann boundary controldual dynamic programmingdual feedback control

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimal feedback synthesis (49N35) Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15) Optimality conditions for minimax problems (49K35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal control problems for nonlinear parabolic boundary control systems: The Dirichlet boundary condition
• Minimax control of parabolic systems with Dirichlet boundary conditions and state constraints
• Multidimensional dual dynamic programming
• Analysis and control of nonlinear infinite dimensional systems
• Differential Games of Generalized Pursuit and Evasion
• 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

This page was built for publication: A Neumann Boundary Control for Multidimensional Parabolic “Minmax” Control Problems