A note on a theorem of Rantzer

Dzhafarov V., Kocak S., Azcan H.

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, vol.12, no.5, pp.403-407, 2002 (SCI-Expanded) identifier identifier

  • 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.