Exact observability of diagonal systems with a one-dimensional output operator

Birgit Jacob, Hans Zwart

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    Abstract

    In this paper equivalent conditions for exact observability of diagonal systems with a one-dimensional output operator are given. One of these equivalent conditions is the conjecture of Russell and Weiss (1994). The other conditions are given in terms of the eigenvalues and the Fourier coefficients of the system data.
    Original languageEnglish
    Pages (from-to)1277-1283
    Number of pages9
    JournalInternational journal of applied mathematics and computer science
    Volume11
    Issue number6
    Publication statusPublished - 2001

    Keywords

    • Infinite-dimensional systems
    • Unbounded observation operator
    • Exact observability
    • Hautus test
    • Lyapunov equation

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