A wider class of stable gyroscopic systems
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.
scientific article; zbMATH DE number 1970624