@inproceedings{279f74dd022540e8970c14e6fdd22200,
title = "A stability criterion for fractional-order systems with α-order in frequency domain: The 1 < α < 2 case",
abstract = "This paper proposes a stability criterion for linear fractional-order systems with the commensurate order α satisfying 1 < α < 2. The angle increment of the characteristic function in a linear fractional-order system is investigated, and the stability condition with respect to the angle increment is presented in the frequency domain. By this condition, we present a stability criterion to verify the stability of a linear fractional-order system according to the arrangement of the positive real solutions of two equations with respect to the coefficients of the characteristic function and the highest order. Finally, a numerical example is given to demonstrate the effectiveness of the proposed stability criterion.",
keywords = "Fractional-order systems, Frequency domain, Linear systems, Stability criterion",
author = "Zhe Gao and Xiaozhong Liao and Bo Shan and Hong Huang",
year = "2013",
doi = "10.1109/ASCC.2013.6606156",
language = "English",
isbn = "9781467357692",
series = "2013 9th Asian Control Conference, ASCC 2013",
booktitle = "2013 9th Asian Control Conference, ASCC 2013",
note = "2013 9th Asian Control Conference, ASCC 2013 ; Conference date: 23-06-2013 Through 26-06-2013",
}