On Stability of Parametrized Families of Polynomials and Matrices
Joint Authors
Büyükköroğlu, Taner
Dzhafarov, Vakıf
Akyar, Handan
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-10-11
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The Schur and Hurwitz stability problems for a parametric polynomial family as well as the Schur stability problem for a compact set of real matrix family are considered.
It is established that the Schur stability of a family of real matrices A is equivalent to the nonsingularity of the family {A2−2tA+I:A∈A,t∈[−1,1]} if A has at least one stable member.
Based on the Bernstein expansion of a multivariable polynomial and extremal properties of a multilinear function, fast algorithms are suggested.
American Psychological Association (APA)
Akyar, Handan& Büyükköroğlu, Taner& Dzhafarov, Vakıf. 2010. On Stability of Parametrized Families of Polynomials and Matrices. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-490687
Modern Language Association (MLA)
Akyar, Handan…[et al.]. On Stability of Parametrized Families of Polynomials and Matrices. Abstract and Applied Analysis No. 2010 (2010), pp.1-16.
https://search.emarefa.net/detail/BIM-490687
American Medical Association (AMA)
Akyar, Handan& Büyükköroğlu, Taner& Dzhafarov, Vakıf. On Stability of Parametrized Families of Polynomials and Matrices. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-16.
https://search.emarefa.net/detail/BIM-490687
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-490687
