The property of bilinear transformation matrix and Schur stability for a linear combination of polynomials

Authors
Shiomi, K Otsuka, N Inaba, H Ishii, R
Citation
K. Shiomi et al., The property of bilinear transformation matrix and Schur stability for a linear combination of polynomials, J FRANKL I, 336(3), 1999, pp. 533-541
Citations number
7
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN journal
00160032 → ACNP
Volume
336
Issue
3
Year of publication
1999
Pages
533 - 541
Database
ISI
SICI code
0016-0032(199904)336:3<533:TPOBTM>2.0.ZU;2-#
Abstract
In this paper, Schur stability for a linear combination of polynomials is s tudied. In order to investigate this stability, we first study some importa nt properties of the transformation matrix derived by using the bilinear tr ansformation. And then, under certain assumptions, necessary and sufficient conditions for the linear combination of k polynomials to be Schur stable are obtained. (C) 1999 The Franklin Institute. Published by Elsevier Scienc e Ltd.