Author's reply: A comment on the "Robust stability analysis of fractional order interval polynomials", by Nusret Tan et al.

TAN N., Ozguven O. F., Ozyetkin M. M.

ISA TRANSACTIONS, cilt.50, sa.1, ss.12, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Editöre Mektup
  • Cilt numarası: 50 Sayı: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.isatra.2010.09.002
  • Dergi Adı: ISA TRANSACTIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.12
  • İnönü Üniversitesi Adresli: Evet

Özet

This author's reply addresses the comment given in the note mentioned in the title. Theorem 3 given in Tan et al. (2009) [1] uses zero exclusion principle for the stability analysis of Fractional Order Interval Polynomial (FOIP). We show that the constant degree assumption is exist in the definition of zero exclusion principle. Although it has not been clearly stated in Tan et al. (2009)11] that FOIP of Eq. (1) is a constant degree polynomial, this condition is implicit in the zero exclusion principle. Therefore, Theorem 3 is true under the constant degree assumption which is a requirement for zero exclusion principle. (C) 2010 ISA. Published by Elsevier Ltd. All rights reserved.