Numerical solution of a time-optimal parabolic boundary-value control problem

DOI10.1007/BF00933231zbMath0372.49014MaRDI QIDQ1244509

Klaus Schittkowski

Publication date: 1979

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Heat equation (35K05) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods in optimal control (49M99)

Related Items (11)

On convergence of a receding horizon method for parabolic boundary control ⋮ Superlinear convergence of a trust region type successive linear programming method ⋮ Semidiscrete finite element approximation of time optimal control problems for semilinear heat equations with nonsmooth initial data ⋮ Optimal control of Hughes' model for pedestrian flow via local attraction ⋮ 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 Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems ⋮ On a lagrange — Newton method for a nonlinear parabolic boundary control problem^∗ ⋮ On theoretical and numerical aspects of the bang-bang-principle ⋮ QPLIB: a library of quadratic programming instances ⋮ Error Estimates for Space-Time Discretization of Parabolic Time-Optimal Control Problems with Bang-Bang Controls

Cites Work

• The time-optimal control problem in Banach spaces
• Numerical treatment of a parabolic boundary-value control problem
• Time-Optimal Control of Solutions of Operational Differenital Equations
• Optimal Control of Distributed Systems (A Survey of Soviet Publications)
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