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    Author's reply: A comment on the Robust stability analysis of fractional order interval polynomials, by Nusret Tan et al.
    (Elsevier Science Inc, 2011) Tan, Nusret; Ozguven, O. Faruk; Ozyetkin, M. Mine
    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.
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    Frequency Response Computation of Fractional Order Interval Transfer Functions
    (Inst Control Robotics & Systems, Korean Inst Electrical Engineers, 2010) Yeroglu, Celaleddin; Ozyetkin, M. Mine; Tan, Nusret
    The paper present extensions of some results developed in the parametric robust control to fractional order interval control systems (FOICS). Computation of the Bode and Nyquist envelopes of FOICS are studied. Using the geometric structure of the value set of fractional order interval polynomials (FOIP), a technique is proposed for computing the Bode and Nyquist envelopes of transfer functions whose numerator and denominator polynomials are fractional order polynomials with interval uncertainty structure. The results obtained are useful For the analysis and design of FOICS. Numerical examples are included to illustrate the benefit of the method presented.
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    Nyquist Envelope of Fractional Order Transfer Functions with Parametric Uncertainty
    (Springer-Verlag Berlin, 2010) Tan, Nusret; Ozyetkin, M. Mine; Yeroglu, Celaleddin
    The paper presents a method for computation of the Nyquist envelope of fractional order interval control systems (FOICS). The given method is based on the computation of the value sets of fractional order interval polynomials (FOIP). The results obtained will be useful for estimating the frequency domain specifications such as robust gain and phase margins, and for designing robust controller for FOICS.