On switching points of optimal controls for coercive parabolic boundary control problems

DOI10.1080/02331938608843105zbMath0596.49005OpenAlexW2050635830MaRDI QIDQ3728716

Fredi Tröltzsch, Karsten Eppler

Publication date: 1986

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938608843105

zbMATH Keywords

regularizationone-dimensional heat equationquadratic cost functionalConvergence propertiesswitching pointsboundary quadratic optimal control

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Heat equation (35K05) 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)

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On convergence of a receding horizon method for parabolic boundary control ⋮ Some aspects of reachability for parabolic boundary control problems with control constraints ⋮ On the switching behavior of sparse optimal controls for the one-dimensional heat equation ⋮ A multigrid scheme for elliptic constrained optimal control problems

Cites Work

• On a Numerical Method for Coercive Parabolic Boundary Control Problems
• Boundary Control of Parabolic Differential Equations in Arbitrary Dimensions: Supremum-Norm Problems