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

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Tarih

2011

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier Science Inc

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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.

Açıklama

Anahtar Kelimeler

Robust stability, Fractional order interval polynomial, Fractional order control systems, Kharitonov theorem, Uncertain systems

Kaynak

Isa Transactions

WoS Q Değeri

Q2

Scopus Q Değeri

Q1

Cilt

50

Sayı

1

Künye