A wider class of stable gyroscopic systems (Q1405043)
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scientific article; zbMATH DE number 1970624
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A wider class of stable gyroscopic systems |
scientific article; zbMATH DE number 1970624 |
Statements
A wider class of stable gyroscopic systems (English)
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25 August 2003
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Gyroscopic systems are studied. They model an important class of problems in the linear theory of vibrations. They are characterized by the transfer function of the form \[ L(\lambda)= \lambda^2 I+ B+ C, \] where \(C> 0\), \(B\) is indefinite and invertible. They are stable at \[ |B|> kI+ k^{-1}C \] for real \(k> 0\). Stability is retained at considerably weaker conditions.
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gyroscopic system
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strong stability
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definite eigenvalues
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linear theory of vibrations
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