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Analysis and Numerical Solution of Control Problems in Descriptor Form

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Abstract.

We study linear variable coefficient control problems in descriptor form. Based on a behaviour approach and the general theory for linear differential algebraic systems we give the theoretical analysis and describe numerically stable methods to determine the structural properties of the system like solvability, regularity, model consistency and redundancy. We also discuss regularization via feedback.

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Authors and Affiliations

  1. Fachbereich Mathematik, Carl von Ossietzky Universität Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany., , , , , , DE

    Peter Kunkel

  2. Fachbereich 3 Mathematik, MA 4-5, Technische Universität Berlin, D-10623 Berlin, Germany. mehrmann@math.TU-Berlin.DE., , , , , , DE

    Volker Mehrmann

  3. Lynx-pmc GmbH, Am Ismerhof 2, D-40668 Meerbusch, Germany., , , , , , DE

    Werner Rath

Authors
  1. Peter Kunkel
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  2. Volker Mehrmann
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  3. Werner Rath
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Additional information

Date received: January 12, 1999. Date revised: November 14, 2000.

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Kunkel, P., Mehrmann, V. & Rath, W. Analysis and Numerical Solution of Control Problems in Descriptor Form. Math. Control Signals Systems 14, 29–61 (2001). https://doi.org/10.1007/PL00009876

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  • DOI: https://doi.org/10.1007/PL00009876