INVESTIGATION OF PARAMETER PERTURBATION REGION FOR POSITIVE POLYNOMIALS
نویسندگان
چکیده
منابع مشابه
Investigation of Parameter Perturbation Region for Positive Polynomials
In this paper the robust positivity of polynomials under coefficient perturbation is investigated. This robust positivity of polynomials can be used for polynomial systems in order to determine the robust asymptotic stability of the system. It is assumed that the polynomials under investigation depend linearly on some parameters. The aim in the article is to determine the parameter perturbation...
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We derive absolute perturbation bounds for the coefficients of the characteristic polynomial of a n × n complex matrix. The bounds consist of elementary symmetric functions of singular values, and suggest that coefficients of normal matrices are better conditioned with regard to absolute perturbations than those of general matrices. When the matrix is Hermitian positivedefinite, the bounds can ...
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In paper [7], we had investigated the quasianalytic perturbation of hyperbolic polynomials, applying our quasianalytic version of the Abhyankar–Jung theorem [6] whose proof relied on a theorem by Luengo [5] on ν-quasiordinary polynomials. But our papers were suspended after we had become aware that paper [5] contained an essential gap. This gave rise to our subsequent article [8] which develope...
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ژورنال
عنوان ژورنال: IFAC Proceedings Volumes
سال: 2005
ISSN: 1474-6670
DOI: 10.3182/20050703-6-cz-1902.01023