Structure preserving eigenvalue embedding for undamped gyroscopic systems
نویسندگان
چکیده
منابع مشابه
A numerical method for quadratic eigenvalue problems of gyroscopic systems
We consider the quadratic eigenvalues problem (QEP) of gyroscopic systems ðlMþ lGþ KÞx 1⁄4 0, where M 1⁄4 M>;G 1⁄4 G> and K 1⁄4 K> 2 R n with M being positive definite. Guo [Numerical solution of a quadratic eigenvalue problem, Linear Algebra and its Applications 385 (2004) 391–406] showed that all eigenvalues of the QEP can be found by solving the maximal solution of a nonlinear matrix equatio...
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Here, gyroscopic systems are time-invariant systems for which motions can be characterized by properties of a matrix pencil L(λ) = λ2I + λG − C, where GT = −G and C > 0. A strong stability condition is known which depends only on |G| (= (GT G)1/2 ≥ 0) and C. If a system with coefficients G0 and C satisfies this condition then all systems with the same C and with a G satisfying |G| ≥ |G0| are al...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2014
ISSN: 0307-904X
DOI: 10.1016/j.apm.2014.02.016