Open Access
2010 On Stability of Parametrized Families of Polynomials and Matrices
Handan Akyar, Taner Büyükköroğlu, Vakıf Dzhafarov
Abstr. Appl. Anal. 2010: 1-16 (2010). DOI: 10.1155/2010/687951


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 { A 2 2 t A + 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.


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Handan Akyar. Taner Büyükköroğlu. Vakıf Dzhafarov. "On Stability of Parametrized Families of Polynomials and Matrices." Abstr. Appl. Anal. 2010 1 - 16, 2010.


Published: 2010
First available in Project Euclid: 1 November 2010

zbMATH: 1204.15026
MathSciNet: MR2726616
Digital Object Identifier: 10.1155/2010/687951

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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