Improved Error Estimate for an Implicit Discretization Scheme for Linear-Quadratic Control Problems with Bang-Bang Solutions

DOI10.1007/978-3-662-43880-0_5OpenAlexW2238544802MaRDI QIDQ5116345

Martin Seydenschwanz, Walter Alt

Publication date: 25 August 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-43880-0_5

zbMATH Keywords

linear quadratic control problembang-bang structurediscrete adjoint equationimplicit discretization schemeimproved error estimates

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Cites Work

• Finite-difference discretizations of quadratic control problems governed by ordinary elliptic differential equations
• Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions
• A variational discretization concept in control constrained optimization: The linear-quadratic case
• On Stability of Bang-Bang Type Controls
• Superconvergence Properties of Optimal Control Problems
• Approximations of linear control problems with bang-bang solutions
• An implicit discretization scheme for linear-quadratic control problems with bang–bang solutions
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