Time-optimal parabolic boundary control problems with state constraints

DOI10.1080/01630568108816091zbMath0467.49002OpenAlexW2014578128MaRDI QIDQ3920210

Uwe Mackenroth

Publication date: 1981

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568108816091

zbMATH Keywords

maximum principleboundary controlmixed boundary conditionstime-optimal controlexistence theorembang-bang controlsparabolic partial differential equationstate space constraints

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order parabolic equations (35K20) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (3)

Optimal control problems with state constraints for semilinear distributed-parameter systems ⋮ On infinite-dimensional control systems with state and control constraints ⋮ On parabolic distributed optimal control problems with restrictions on the gradient

Cites Work

• Unnamed Item
• Unnamed Item
• State constrained control problems for parabolic systems: Regularity of optimal solutions
• Optimal control for parabolic equations
• Some Problems in the Control of Distributed Systems, and Their Numerical Solution
• The “Bang-Bang” Principle for the Time-Optimal Problem in Boundary Control of the Heat Equation
• Boundary Control of Parabolic Differential Equations in Arbitrary Dimensions: Supremum-Norm Problems
• Time Optimal Control of Infinite-Dimensional Systems
• On the Boundary Behavior of Solutions to Elliptic and Parabolic Equations—with Applications to Boundary Control for Parabolic Equations

This page was built for publication: Time-optimal parabolic boundary control problems with state constraints