Eigenvalue assignment by delayed boundary feedback for a class of linear hyperbolic systems

B. M N Clarke*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We study a class of linear hyperbolic systems subject to boundary control. We show that the set {ρ1}, i Ζ can be assigned as closed loop eigenvalues by the application of delayed boundary feedback, where the set {ρ1} is subject only to a controllability condition and an asymptotic condition. Since the type of feedback used requires only boundary information over a fixed, finite time interval, it is important in applications.

    Original languageEnglish
    Pages (from-to)251-262
    Number of pages12
    JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
    Volume27
    Issue number2
    DOIs
    Publication statusPublished - Apr 1981

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