Geodesic
Strongly stable gyroscopic systems
The electronic journal of linear algebra, Tome 5 (1999), pp. 53-66.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Here, gyroscopic systems are time-invariant systems for which motions can be characterized by properties of a matrix pencil $L(*)$ = * 2 I + *G $\Gamma C$, where G $T = \Gamma G$ and C ? 0. A strong stability condition is known which depends only on jGj (= (G T G) 1=2 * 0) and C. If a system with coefficients G 0 and C satisfies this condition then all systems with the same C and with a G satisfying jGj * jG 0 j are also strongly stable. In order to develop a sense of those variations in G 0 which are admissible (preserve strong stability), the class of real skew-symmetric matrices G for which this inequality holds is investigated, and also those G for which jGj = jG 0 j.
Classification : 47A56, 15A22
Keywords: gyroscopic systems 
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     author = {Lancaster, Peter},
     title = {Strongly stable gyroscopic systems},
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Lancaster, Peter. Strongly stable gyroscopic systems. The electronic journal of linear algebra, Tome 5 (1999), pp. 53-66. http://geodesic.mathdoc.fr/item/ELA_1999__5__a2/