Computational Optimization and Applications

, Volume 50, Issue 1, pp 75–110 | Cite as

Some aspects of reachability for parabolic boundary control problems with control constraints

  • Vili DhamoEmail author
  • Fredi Tröltzsch


A class of one-dimensional parabolic optimal boundary control problems is considered. The discussion includes Neumann, Robin, and Dirichlet boundary conditions. The reachability of a given target state in final time is discussed under box constraints on the control. As a mathematical tool, related exponential moment problems are investigated. Moreover, based on a detailed study of the adjoint state, a technique is presented to find the location and the number of the switching points of optimal bang-bang controls. Numerical examples illustrate this procedure.

Linear parabolic equation Optimal boundary control problem Box constraints Reachability Exponential moment problem 


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© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Institut für MathematikTechnische Universität BerlinBerlinGermany

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