A precise bound for gyroscopic stabilization

被引：0
|
作者：
Hryniv, RO [1 ]
Kliem, W
Lancaster, P
Pommer, C
机构：
[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2L 1B4, Canada
[2] Tech Univ Denmark, Dept Math, DK-2800 Lyngby C, Denmark
[3] Tech Univ Denmark, Dept Appl Engn Design & Prod, DK-2800 Lyngby, Denmark
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2000年 / 80卷 / 08期
关键词：
D O I：
10.1002/1521-4001(200008)80:8<507::AID-ZAMM507>3.0.CO;2-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider gyroscopic systems Mx(t) + hGx(t) + Kx(t) = 0 where M > 0, G(T) = -G, and K < 0. A is shown how to compute a critical value of parameter (h) over cap which (in many cases) separates stable and unstable regimes for gyroscopic stabilization. Comparison is made with some known, sufficient conditions for stability or instability, and a theory is developed (including the formulation of a related Lyapunov function) which unifies several earlier results concerning systems of this kind. Numerical examples are included.
引用
收藏
页码：507 / 516
页数：10
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