A note on a theorem of Rantzer
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, vol.12, no.5, pp.403-407, 2002 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 12 Issue: 5
- Publication Date: 2002
- Doi Number: 10.1002/rnc.626
- Journal Name: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.403-407
- Keywords: stable polynomials, convex direction, growth condition
- Anadolu University Affiliated: No
Abstract
In this note we fill the missing cases of a theorem of Rantzer on the relationship between n-convex directions and the growth condition. We mainly show that if a second or a third order polynomial is a 3-convex direction, then it satisfies the growth condition. Copyright (C) 2002 John Wiley Sons, Ltd.