A note on a theorem of Rantzer

Dzhafarov V., Kocak S., Azcan H.

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, cilt.12, sa.5, ss.403-407, 2002 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 5
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1002/rnc.626
  • Dergi Adı: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.403-407
  • Anahtar Kelimeler: stable polynomials, convex direction, growth condition
  • Anadolu Üniversitesi Adresli: Hayır

Özet

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.