Well-posedness, stabilizability, and admissibility for Pritchard-Salamon systems

Ruth F. Curtain, Hartmut Logemann, Stuart Townley, Hans Zwart

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    23 Citations (Scopus)
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    Abstract

    The object of this paper is to further develop the theory of Pritchard-Salamon systems, which are abstract infinite-dimensional systems allowing for a certain unboundedness of the control and observation operators. New results are derived on the transfer function and the impulse response of a Pritchard-Salamon system, on the well-posedness of feedback systems, on the invariance properties of the Pritchard-Salamon class under feedback and output injection, on the relation between bounded and admissible stabilizability and on the relationship between exponential and external stability.
    Original languageEnglish
    Number of pages38
    JournalJournal of mathematical systems, estimation and control
    Volume4
    Issue number4
    Publication statusPublished - 1994

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