SCHUR STABILITY OF INTERVAL POLYNOMIALS

Authors
KOGAN J
Citation
J. Kogan, SCHUR STABILITY OF INTERVAL POLYNOMIALS, International Journal of Systems Science, 25(9), 1994, pp. 1405-1415
Citations number
12
Categorie Soggetti
System Science","Computer Science Theory & Methods","Operatione Research & Management Science
Journal title
International Journal of Systems Science → ACNP
ISSN journal
00207721
Volume
25
Issue
9
Year of publication
1994
Pages
1405 - 1415
Database
ISI
SICI code
0020-7721(1994)25:9<1405:SSOIP>2.0.ZU;2-M
Abstract
In this note we consider real interval polynomials of degree n whose r oots are required to lie in the unit disc. The main result of the pape r is the following. There exists a finite partition 0 = W-0 < W-1 < .. . < W-k = pi so that when w(i) < w < w(i+1) the set of vertices of the polynomial box generating the extreme points of the corresponding val ue set does not depend on w. The number of vertices is 2n. An algorith m that selects vertices generating extreme points of the value sets, a nd a formula for the number k, are provided.