[1]
|
Oldham K B, Spanier J. The Fractional Calculus. New York and London: Academic Press, 1974. 69-83
|
[2]
|
Podlubny I. Fractional Differential Equations. New York: Academic Press, 1999. 38-52
|
[3]
|
Ichise M, Nagayanagi Y, Kojima T. An analog simulation of non-integer order transfer functions for analysis of electrode processes. Journal of Electroanalytical Chemistry and Interfacial Electrochemistry, 1971, 33(2): 253-265
|
[4]
|
McAdams E T, Lackermeier A, McLaughlin J A, Macken D, Jossinet J. The linear and non-linear electrical properties of the electrode-electrolyte interface. Biosensors and Bioelectronics, 1995, 10(1-2): 67-74
|
[5]
|
Gaul L, Klein P, Kemple S. Damping description involving fractional operators. Mechanical Systems and Signal Processing, 1991, 5(2): 81-88
|
[6]
|
Makris N, Constantinou M C. Fractional-derivative Maxwell model for viscous dampers. Journal of Structural Engineering, 1991, 117(9): 2708-2724
|
[7]
|
Bagley R L, Calico R A. Fractional order state equations for the control of viscoelastically damped structures. Journal of Guidance, Control, and Dynamics, 1991, 14(2): 304-311
|
[8]
|
Clerc J P, Tremblay A M S, Albinet G, Mitescu C D. a.c. response of fractal networks. Journal de Physique Letters, 1984, 45: 913-924
|
[9]
|
Gao Xin, Yu Jue-Bang. Synchronization of two coupled fractional-order chaotic oscillators. Chaos, Solitons and Fractals, 2005, 26(1): 141-145
|
[10]
|
Monje C A, Chen Y Q, Vinagre B M, Xue D Y, Feliu-Batlle V. Fractional-order Systems and Controls: Fundamentals and Applications. London: Springer-Verlag, 2010. 37-78
|
[11]
|
Gao Zhe, Liao Xiao-Zhong. A stability criterion for linear fractional order systems in frequency domain. Acta Automatica Sinica, 2011, 37(11): 1387-1394 (in Chinese)
|
[12]
|
Guo T L. Controllability and observability of impulsive fractional linear time-invariant system. Computers & Mathematics with Applications, 2012, 64(10): 3171-3182
|
[13]
|
Podlubny I. Fractional-order systems and PIλ Dμ controllers. IEEE Transactions on Automatic Control, 1999, 44(1): 208-214
|
[14]
|
Oustaloup A, Mathieu B, Lanusse P. The CRONE control of resonant plants: application to a flexible transmission. European Journal of Control, 1995, 1: 113-121
|
[15]
|
Ahn H S, Chen Y Q. Necessary and sufficient stability condition of fractional-order interval linear systems. Automatica, 2008, 44(11): 2985-2988
|
[16]
|
Lu J G, Chen G R. Robust stability and stabilization of fractional-order interval systems: an LMI approach. IEEE Transactions on Automatic Control, 2009, 54(6): 1294-1299
|
[17]
|
Lu J G, Chen Y Q. Robust stability and stabilization of fractional-order interval systems with the fractional order α: the 0 IEEE Transactions on Automatic Control, 2010, 55(1): 152-158
|
[18]
|
Hwang C, Cheng Y C. A numerical algorithm for stability testing of fractional delay systems. Automatica, 2006, 42(5): 825-831
|
[19]
|
Gao Z, Liao X Z. Robust stability criterion of fractional-order functions for interval fractional-order systems. IET Control Theory and Applications, 2013, 7(1): 60-67
|
[20]
|
Ding Y S, Wang Z D, Ye H P. Optimal control of a fractional-order HIV-immune system with memory. IEEE Transactions on Control Systems Technology, 2012, 20(3): 763-769
|
[21]
|
Zhu Cheng-Xiang, Zou Yun. Simultaneous identification of fractional-order system structure and order and parameters based on alternately transforming condensed information matrix. Acta Automatica Sinica, 2012, 38(8): 1280-1287 (in Chinese)
|
[22]
|
Gabano J D, Poinot T, Kanoun H. Identification of a thermal system using continuous linear parameter-varying fractional modelling. IET Control Theory and Applications, 2011, 5(7): 889-899
|
[23]
|
Jin Y, Chen Y Q, Xue D Y. Time-constant robust analysis of a fractional order[proportional derivative] controller. IET Control Theory and Applications, 2011, 5(1): 164-172
|
[24]
|
Gao Zhe, Liao Xiao-Zhong. Robust stability criteria for interval fractional-order systems: the 0 Acta Automatica Sinica, 2012, 38(2): 175-182 (in Chinese)
|
[25]
|
Dai L Y. Singular Control Systems. Berlin: Springer-Verlag, 1989. 79-98
|
[26]
|
Lewis F L. A survey of linear singular systems. Circuits, Systems and Signal Processing, 1986, 5(1): 3-36
|
[27]
|
Fang C H, Chang F R. Analysis of stability robustness for generalized state-space systems with structured perturbations. Systems and Control Letters, 1993, 21(2): 109-114
|
[28]
|
Fang C H, Lee L, Chang F R. Robust control analysis and design for discrete-time singular systems. Automatica, 1994, 30(11): 1741-1750
|
[29]
|
N'Doye I, Zasadzinski M, Darouach M, Radhy N E. Regularization and stabilization of singular fractional-order systems. In: Proceedings of the 4th IFAC Workshop Fractional Differentiation and its Applications. Badajoz, Spain: IFAC, 2010. 145-149
|