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Maximal Controllability for Boundary Control Problems

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Abstract

We develop a semigroup approach to abstract boundary control problems which allows to characterize the space of all approximately reachable states. We then introduce the “maximal reachability space” giving an upper bound for this space. The abstract results are applied to the flow in a network controlled in a single vertex.

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Authors and Affiliations

  1. Department of Pure and Applied Mathematics, University of L’Aquila, Via Vetoio (Coppito) 1, 67010, L’Aquila (AQ), Italy

    Klaus-Jochen Engel

  2. Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova 2, 1000, Ljubljana, Slovenia

    Marjeta Kramar Fijavž

  3. Mathematics Institute, University of Tübingen, Auf der Morgenstelle 10, 72076, Tübingen, Germany

    Bernd Klöss & Rainer Nagel

  4. Department of Applied Analysis, Eötvös Loránd University Budapest, Pázmány Péter sétány 1/c, Budapest, 1117, Hungary

    Eszter Sikolya

Authors
  1. Klaus-Jochen Engel
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  2. Marjeta Kramar Fijavž
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  3. Bernd Klöss
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  4. Rainer Nagel
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  5. Eszter Sikolya
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Corresponding author

Correspondence to Rainer Nagel.

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Communicating Editor: Irena Lasiecka.

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Engel, KJ., Kramar Fijavž, M., Klöss, B. et al. Maximal Controllability for Boundary Control Problems. Appl Math Optim 62, 205–227 (2010). https://doi.org/10.1007/s00245-010-9101-1

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