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Indefinite damping in mechanical systems and gyroscopic stabilization

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Publication:834564
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DOI10.1007/s00033-007-7072-0zbMath1169.70011OpenAlexW2077798529MaRDI QIDQ834564

Christian Pommer, Wolfhard Kliem

Publication date: 27 August 2009

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-007-7072-0


zbMATH Keywords

Lyapunov matrix equationstability limit


Mathematics Subject Classification ID

Stability for problems in linear vibration theory (70J25) Systems arising from the discretization of structural vibration problems (70J50)


Related Items (6)

Stability of weakly damped MDGKN-systems: The role of velocity proportional terms ⋮ Stability of linear systems in second-order form based on structure preserving similarity transformations ⋮ Novel versions of \(D\)-stability in matrices provide new insights into ODE dynamics ⋮ \({\mathcal PT}\)-symmetry, indefinite damping and dissipation-induced instabilities ⋮ Brouwer's problem on a heavy particle in a rotating vessel: Wave propagation, ion traps, and rotor dynamics ⋮ Relative perturbation theory for quadratic Hermitian eigenvalue problems




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