Mark Opmeer


Senior Lecturer in Mathematics


Department of Mathematical Sciences
University of Bath
Claverton Down
Bath BA2 7AY
UK

Office: 4 West 2.14

E-mail: m.opmeer@maths.bath.ac.uk

Preprints

Publications in Journals

Publications in Conference Proceedings

  • Mark R. Opmeer.
    Decay of singular values of the Gramians of infinite-dimensional systems.
    Proceedings of the ECC 2015, 6 pages.
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  • Mark R. Opmeer.
    Optimal model reduction for non-rational functions.
    Proceedings of the ECC 2015, 6 pages.
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  • Mark R. Opmeer.
    The algebraic Riccati equation for infinite-dimensional systems.
    Proceedings of the MTNS 2014, 5 pages.
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  • Mark R. Opmeer.
    Model reduction for distributed parameter systems: a functional analytic view.
    Proceedings of the ACC 2012, 6 pages.
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  • Chris Guiver and Mark R. Opmeer.
    Non-dissipative boundary feedback for elastic beams.
    Proceedings of the MTNS 2010, 4 pages.
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  • Mark R. Opmeer and Orest V. Iftime.
    Representation of solutions of Riccati equations for well-posed systems.
    Proceedings of the MTNS 2010, 6 pages.
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  • Ruth F. Curtain and Mark R. Opmeer.
    The Nehari problem for discrete-time infinite-dimensional systems.
    Proceedings of the ECC 2007, 6 pages.

  • Mark R. Opmeer and Ruth F. Curtain.
    Non-well-posed infinite-dimensional linear systems.
    Proceedings of the CDC 2006, 6 pages.

  • Mark R. Opmeer, Fred W. Wubs and Simon van Mourik.
    Model reduction for controller design for infinite-dimensional systems: theory and an example.
    Proceedings of the CDC 2005, 6 pages.
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  • Mark R. Opmeer and Orest V. Iftime.
    A representation of all bounded selfadjoint solutions of the algebraic Riccati equation for systems with an unbounded observation operator.
    Proceedings of the CDC 2004, 6 pages.

  • Ruth F. Curtain and Mark R. Opmeer.
    Normalized doubly coprime factorizations for state linear systems.
    Proceedings of the ASCC 2004, 9 pages.

  • Mark R. Opmeer.
    The linear quadratic regulator problem for a large class of infinite-dimensional systems.
    Proceedings of the MTNS 2004, 8 pages.

  • Ruth F. Curtain and Mark R. Opmeer.
    The suboptimal Nehari problem for stable infinite-dimensional linear systems: bridging the gap.
    Proceedings of the MTNS 2004, 19 pages.

  • Mark R. Opmeer and Ruth F. Curtain.
    LQG-balancing in infinite dimensions.
    Proceedings of the MTNS 2002, 8 pages.

Theses

  • Mark R. Opmeer
    Model reduction for controller design for infinite-dimensional systems.
    PhD thesis, University of Groningen, 2006. 
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  • Mark R. Opmeer
    Discrete-time LQG-balancing in infinite dimensions.
    Master thesis, University of Groningen, 2002.