Discretization of semilinear bang-singular-bang control problems

  • Bang--singular controls may appear in optimal control problems where the control enters the system linearly. We analyze a discretization of the first-order system of necessary optimality conditions written in terms of a variational inequality (or: inclusion) under appropriate assumptions including second-order optimality conditions. For the so-called semilinear case, it is proved that the discrete control has the same principal bang-singular-bang structure as the reference control and, in L_1 topology, the convergence is of order one w.r.t. the stepsize.

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Metadaten
Author: Ursula Felgenhauer
DOI:https://doi.org/10.1007/s10589-015-9800-2
ISSN:0926-6003
Title of the source (English):Computational Optimization and Applications
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2016
Tag:Euler method; L_1 error estimate; approximation of extremals; bang-singular control structure
Volume/Year:64
Issue number:1
First Page:295
Last Page:326
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Optimale Steuerung
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