Indefinite damping in mechanical systems and gyroscopic stabilization

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This paper deals with gyroscopic stabilization of the unstable system Mx + D(x) over dot + K-x = 0, with positive definite mass and stiffness matrices M and K, respectively, and an indefinite damping matrix D. The main question if for which skew-symmetric matrices G the system Mx (D+ G)(x) over dot + K-x = 0 can become stable? After investigating special cases we find an appropriat solution of the Lyapunov matrix equation for the general case. Examples show the deviation of the stability limit found by the Lyapunov method from the exact value.
Original languageEnglish
JournalZeitschrift fuer Angewandte Mathematik und Physik
Issue number4
Pages (from-to)785-795
Publication statusPublished - 2009
CitationsWeb of Science® Times Cited: No match on DOI

    Research areas

  • stability, Lyapunov's matrix equation, Indefinite damping

ID: 4392368