Boundary control for a class of dissipative differential operators including diffusion systems

J.A. Villegas, Y. Le Gorrec, Heiko J. Zwart, B.M. Maschke

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    Abstract

    In this paper we study a class of partial differential equations (PDE's), which includes Sturm-Liouville systems and diffusion equations. From this class of PDE's we define systems with control and observation through the boundary of the spatial domain. That is, we describe how to select boundary conditions, such that the resulting system has inputs and outputs acting through the boundary. Furthermore, these boundary conditions are chosen in a way that the resulting system has a nonincreasing energy.
    Original languageUndefined
    Title of host publicationProceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS)
    EditorsY Yamamoto
    Place of PublicationKyoto
    PublisherKyoto University
    Pages297-304
    Number of pages11
    ISBN (Print)not assigned
    Publication statusPublished - Jul 2006
    Event17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006 - Kyoto, Japan
    Duration: 24 Jul 200628 Jul 2006
    Conference number: 17

    Publication series

    Name
    Number06EX1521

    Conference

    Conference17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006
    Abbreviated titleMTNS
    CountryJapan
    CityKyoto
    Period24/07/0628/07/06

    Keywords

    • EWI-7993
    • IR-66573
    • METIS-238276

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