A note on applications of interpolation theory to control problems of infinite-dimensional systems

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    Abstract

    In this paper we shall give two examples of how interpolation theory plays an important role in control theory. The first one is proving the necessary and sufficient conditions for admissibility of a one-dimensional input vector for a diagonal semigroup. The other problem is showing lack of optimizability for the well-known Zabczyk example (Zabczyk, 1975).
    Original languageEnglish
    Pages (from-to)5-14
    Number of pages10
    JournalApplied mathematics and computer science
    Volume6
    Issue number1
    Publication statusPublished - 1996

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