Some remarks on adaptive stabilization of infinite-dimensional systems

Hartmut Logemann, Heiko J. Zwart

    Research output: Contribution to journalArticleAcademic

    37 Citations (Scopus)
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    Abstract

    It is the purpose of this note to show that a first-order adaptive controller stabilizes a large class of infinite-dimensional systems described by strongly continous semigroups. It is assumed that the plant is minimum-phase and has invertible high-frequency gain. Knowledge of the sign of the high-frequency gain is not required.
    Original languageUndefined
    Pages (from-to)199-207
    JournalSystems and control letters
    Volume16
    Issue number3
    DOIs
    Publication statusPublished - 1991

    Keywords

    • Infinite-dimensional systems
    • semilinear evolution equations
    • s strongly continous semigroup
    • IR-72963
    • adaptive stabilization

    Cite this

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    title = "Some remarks on adaptive stabilization of infinite-dimensional systems",
    abstract = "It is the purpose of this note to show that a first-order adaptive controller stabilizes a large class of infinite-dimensional systems described by strongly continous semigroups. It is assumed that the plant is minimum-phase and has invertible high-frequency gain. Knowledge of the sign of the high-frequency gain is not required.",
    keywords = "Infinite-dimensional systems, semilinear evolution equations, s strongly continous semigroup, IR-72963, adaptive stabilization",
    author = "Hartmut Logemann and Zwart, {Heiko J.}",
    year = "1991",
    doi = "10.1016/0167-6911(91)90049-K",
    language = "Undefined",
    volume = "16",
    pages = "199--207",
    journal = "Systems and control letters",
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    publisher = "Elsevier",
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    Some remarks on adaptive stabilization of infinite-dimensional systems. / Logemann, Hartmut; Zwart, Heiko J.

    In: Systems and control letters, Vol. 16, No. 3, 1991, p. 199-207.

    Research output: Contribution to journalArticleAcademic

    TY - JOUR

    T1 - Some remarks on adaptive stabilization of infinite-dimensional systems

    AU - Logemann, Hartmut

    AU - Zwart, Heiko J.

    PY - 1991

    Y1 - 1991

    N2 - It is the purpose of this note to show that a first-order adaptive controller stabilizes a large class of infinite-dimensional systems described by strongly continous semigroups. It is assumed that the plant is minimum-phase and has invertible high-frequency gain. Knowledge of the sign of the high-frequency gain is not required.

    AB - It is the purpose of this note to show that a first-order adaptive controller stabilizes a large class of infinite-dimensional systems described by strongly continous semigroups. It is assumed that the plant is minimum-phase and has invertible high-frequency gain. Knowledge of the sign of the high-frequency gain is not required.

    KW - Infinite-dimensional systems

    KW - semilinear evolution equations

    KW - s strongly continous semigroup

    KW - IR-72963

    KW - adaptive stabilization

    U2 - 10.1016/0167-6911(91)90049-K

    DO - 10.1016/0167-6911(91)90049-K

    M3 - Article

    VL - 16

    SP - 199

    EP - 207

    JO - Systems and control letters

    JF - Systems and control letters

    SN - 0167-6911

    IS - 3

    ER -