Some discrete-time counterparts to extreme point results for robust stability of a diamond of polynomials

Authors
Kang, HI
Citation
Hi. Kang, Some discrete-time counterparts to extreme point results for robust stability of a diamond of polynomials, IEEE AUTO C, 44(8), 1999, pp. 1613-1615
Citations number
10
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
44
Issue
8
Year of publication
1999
Pages
1613 - 1615
Database
ISI
SICI code
0018-9286(199908)44:8<1613:SDCTEP>2.0.ZU;2-F
Abstract
The main result of this paper is that a family of polynomials with roughly half of all the real coefficients lying in a diamond is robustly Schur stab le if and only if all the extreme polynomials are Schur stable. This specia l polynomial family is called a degenerate diamond of polynomials. In addit ion, we obtain the extreme point result for robust Schur stability of a so- called simplex degenerate diamond polynomial family.