Eigenvalue assignment of an augmented hyperbolic system by linear feedback

B. M N Clarke*

*Corresponding author for this work

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    Abstract

    A class of augmented linear hyperbolic systems subject to a boundary control is studied. It is shown that the eigenvalues of the closed loop system subject to a feedback control, can be assigned arbitrarily, apart from an asymptotic condition on the distribution of the eigenvalues. The feedback vector is constructed in an appropriate Hilbert space. The results are applied to an important example of the synthesis of a distortionless transmission line system by linear feedback.

    Original languageEnglish
    Pages (from-to)417-440
    Number of pages24
    JournalJournal of Mathematical Analysis and Applications
    Volume97
    Issue number2
    DOIs
    Publication statusPublished - 1983

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