-
1
-
-
0010071336
-
Mémoire sur quelques questions de géométrie et de mécanique
-
J. Liouville, "Mémoire sur quelques questions de géométrie et de mécanique," J. Ecole Polytech., vol. 13, pp. 1-69.
-
J. Ecole Polytech
, vol.13
, pp. 1-69
-
-
Liouville, J.1
-
2
-
-
0003615941
-
-
Frankfurt, Germany: Gutenberg
-
B. Riemann, Gesammelte Werke. Frankfurt, Germany: Gutenberg, 1892.
-
(1892)
Gesammelte Werke
-
-
Riemann, B.1
-
4
-
-
0035811105
-
Solving an inverse heat conduction problem using a non-integer identified model
-
J. L. Battaglia, O. Cois, L. Puigsegur, and A. Oustaloup, "Solving an inverse heat conduction problem using a non-integer identified model," International Journal of Heat and Mass Transfer, vol. 44, pp. 2671-2680, 2001.
-
(2001)
International Journal of Heat and Mass Transfer
, vol.44
, pp. 2671-2680
-
-
Battaglia, J.L.1
Cois, O.2
Puigsegur, L.3
Oustaloup, A.4
-
5
-
-
0014818654
-
The replacement of Fick's laws by a formulation involving semidifferentiation
-
K. B. Oldham and J. Spanier, "The replacement of Fick's laws by a formulation involving semidifferentiation," J. Electroanal. Chem. Interfacial Electrochem., vol. 26, pp. 331-341, 1970.
-
(1970)
J. Electroanal. Chem. Interfacial Electrochem
, vol.26
, pp. 331-341
-
-
Oldham, K.B.1
Spanier, J.2
-
6
-
-
0000251553
-
A general solution of the diffusive equation for semiinfinite geometries
-
K. B. Oldham and J. Spanier, "A general solution of the diffusive equation for semiinfinite geometries," J. Math. Anal. Applicat., vol. 39, pp. 655-669, 1972.
-
(1972)
J. Math. Anal. Applicat
, vol.39
, pp. 655-669
-
-
Oldham, K.B.1
Spanier, J.2
-
7
-
-
0004861483
-
Diffusive transport to planar, cylindrical and spherical electrodes
-
K. B. Oldham, "Diffusive transport to planar, cylindrical and spherical electrodes," J. Electroanal. Chem. Interfacial Electrochem., vol. 41, pp. 351-358, 1973.
-
(1973)
J. Electroanal. Chem. Interfacial Electrochem
, vol.41
, pp. 351-358
-
-
Oldham, K.B.1
-
8
-
-
0033891725
-
A review of state of charge indication of batteries by means of A.C. impedance measurements
-
S. Rodrigues, N. Munichandraiah and A. K. Shukla, "A review of state of charge indication of batteries by means of A.C. impedance measurements," J. Power Sources, vol. 87, pp. 12-20, 2000.
-
(2000)
J. Power Sources
, vol.87
, pp. 12-20
-
-
Rodrigues, S.1
Munichandraiah, N.2
Shukla, A.K.3
-
10
-
-
0001488637
-
Fractal rheological models and fractional differential equations for viscoelastic behavior
-
N. Heymans and J. C. Bauwens, "Fractal rheological models and fractional differential equations for viscoelastic behavior," Rheologica Acta, vol. 33, pp. 219-219, 1994.
-
(1994)
Rheologica Acta
, vol.33
, pp. 219-219
-
-
Heymans, N.1
Bauwens, J.C.2
-
13
-
-
0032653954
-
Fractional-order systems and PID-controllers
-
I. Podlubny, "Fractional-order systems and PID-controllers," IEEE Trans. Autom. Contr., vol. 44, pp. 208-214, 1999.
-
(1999)
IEEE Trans. Autom. Contr
, vol.44
, pp. 208-214
-
-
Podlubny, I.1
-
14
-
-
0141974642
-
Frequency identification by implicit derivative models
-
Amiens, France
-
L. L. Lay, A. Oustaloup, and J. C. Trigeassou, "Frequency identification by implicit derivative models," in Proc. Int. Conf. Adv. Veh. Contr. Safety (AVCS'98), Amiens, France, 1998, pp. 351-356.
-
(1998)
Proc. Int. Conf. Adv. Veh. Contr. Safety (AVCS'98)
, pp. 351-356
-
-
Lay, L.L.1
Oustaloup, A.2
Trigeassou, J.C.3
-
15
-
-
84885831620
-
Advances in fractional calculus. Theoretical developments and applications in physics and engineering
-
J. Sabatier, O. M. Agrawal, and J. A. T. Machado, Eds. Berlin, Germany: Springer
-
A. Benchellal, T. Poinot, and J. C. Trigeassou, "Advances in fractional calculus. Theoretical developments and applications in physics and engineering," in Modelling and Identification of Diffusive Systems Using Fractional Models, J. Sabatier, O. M. Agrawal, and J. A. T. Machado, Eds. Berlin, Germany: Springer, 2007, pp. 213-225.
-
(2007)
Modelling and Identification of Diffusive Systems Using Fractional Models
, pp. 213-225
-
-
Benchellal, A.1
Poinot, T.2
Trigeassou, J.C.3
-
16
-
-
53149097089
-
Tutorial on system identification using fractional differentiation models
-
Newcastle, Australia
-
R. Malti, M. Aoun, J. Sabatier, and A. Oustaloup, "Tutorial on system identification using fractional differentiation models," in Proc. 14th IFAC Symp. Syst. Ident., Newcastle, Australia, 2006, pp. 606-611.
-
(2006)
Proc. 14th IFAC Symp. Syst. Ident
, pp. 606-611
-
-
Malti, R.1
Aoun, M.2
Sabatier, J.3
Oustaloup, A.4
-
17
-
-
0000501589
-
Fractional Brownian motions, fractional noises and applications
-
B. Mandelbrot and J. W. V. Ness, "Fractional Brownian motions, fractional noises and applications," SIAM Rev., vol. 10, 1968.
-
(1968)
SIAM Rev
, vol.10
-
-
Mandelbrot, B.1
Ness, J.W.V.2
-
18
-
-
33751019136
-
Designs of fractional delay filter, Nyquist filter, lowpass filter and diamond shaped filter
-
C. C. Tseng, "Designs of fractional delay filter, Nyquist filter, lowpass filter and diamond shaped filter," Signal Process., vol. 87, pp. 584-601, 2007.
-
(2007)
Signal Process
, vol.87
, pp. 584-601
-
-
Tseng, C.C.1
-
19
-
-
0027233307
-
A family of polynomial spline wavelet transforms
-
M. Unser, A. Aldroubi, and M. Eden, "A family of polynomial spline wavelet transforms," Signal Process., vol. 30, pp. 141-162, 1993.
-
(1993)
Signal Process
, vol.30
, pp. 141-162
-
-
Unser, M.1
Aldroubi, A.2
Eden, M.3
-
20
-
-
0343877217
-
Fractional splines and wavelets
-
M. Unser and T. Blu, "Fractional splines and wavelets," SIAM Rev. vol. 42, pp. 43-67, 2000.
-
(2000)
SIAM Rev
, vol.42
, pp. 43-67
-
-
Unser, M.1
Blu, T.2
-
21
-
-
0036503554
-
Wavelets, fractals, and radial basis functions
-
T. Blu and M. Unser, "Wavelets, fractals, and radial basis functions," IEEE Trans. Signal Process., vol. 50, pp. 543-553.
-
IEEE Trans. Signal Process
, vol.50
, pp. 543-553
-
-
Blu, T.1
Unser, M.2
-
22
-
-
77958407025
-
The fractional order Fourier transform and its application to quantum mechanics
-
V. Namias, "The fractional order Fourier transform and its application to quantum mechanics," J. Inst. Appl. Math., vol. 25, pp. 241-265, 1980.
-
(1980)
J. Inst. Appl. Math
, vol.25
, pp. 241-265
-
-
Namias, V.1
-
23
-
-
0000074512
-
Stability properties for generalized fractional differential systems
-
D. Matignon, "Stability properties for generalized fractional differential systems," in Proc. Systémes Différentiels Fractionnaires - Modéles, Méthodes et Applicat. (ESAIM), 1998, vol. 5, pp. 145-158.
-
(1998)
Proc. Systémes Différentiels Fractionnaires - Modéles, Méthodes et Applicat. (ESAIM)
, vol.5
, pp. 145-158
-
-
Matignon, D.1
-
24
-
-
0001110962
-
Coprime factorizations and stability of fractional differential systems
-
C. Bonnet and J. R. Partington, "Coprime factorizations and stability of fractional differential systems," Syst. Contr. Lett., vol. 41, pp. 167-174, 2000.
-
(2000)
Syst. Contr. Lett
, vol.41
, pp. 167-174
-
-
Bonnet, C.1
Partington, J.R.2
-
25
-
-
0002210275
-
Some results on controllability and observability of finite-dimensional fractional differential systems
-
D. Matignon and B. D'Andrea-Novel, "Some results on controllability and observability of finite-dimensional fractional differential systems," in Proc. IEEE-SMC Comput. Eng. Syst. Applicat. (IMACS , 1996, vol. 2, pp. 952-956.
-
(1996)
Proc. IEEE-SMC Comput. Eng. Syst. Applicat. (IMACS
, vol.2
, pp. 952-956
-
-
Matignon, D.1
D'Andrea-Novel, B.2
-
26
-
-
1842634152
-
-
2 norm of fractional differential systems, in Proc. ASME'03, Chicago, IL, USA, Sep. 2003, DETC2003/VIB-48387.
-
2 norm of fractional differential systems," in Proc. ASME'03, Chicago, IL, USA, Sep. 2003, vol. DETC2003/VIB-48387.
-
-
-
-
27
-
-
33847218601
-
On fractional systems H∞-norm computation
-
Seville, Spain
-
J. Sabatier, M. Moze, and A. Oustaloup, "On fractional systems H∞-norm computation," in Proc. 44th IEEE CDC-ECC, Seville, Spain, 2005, pp. 5758-5763.
-
(2005)
Proc. 44th IEEE CDC-ECC
, pp. 5758-5763
-
-
Sabatier, J.1
Moze, M.2
Oustaloup, A.3
-
29
-
-
70349408001
-
A unified approach to the synthesis of orthonormal exponential functions useful in systems analysis
-
J. Mendel, "A unified approach to the synthesis of orthonormal exponential functions useful in systems analysis," IEEE Trans. Syst. Sci. Cybern., vol. SSC-2, pp. 54-62, 1966.
-
(1966)
IEEE Trans. Syst. Sci. Cybern
, vol.SSC-2
, pp. 54-62
-
-
Mendel, J.1
-
30
-
-
0029263844
-
A generalized orthonormal basis for linear dynamical systems
-
P. Heuberger, P. M. J. Van den Hof, and O. Bosgra, "A generalized orthonormal basis for linear dynamical systems," IEEE Trans. Autom. Control, vol. 40, pp. 451-465, 1995.
-
(1995)
IEEE Trans. Autom. Control
, vol.40
, pp. 451-465
-
-
Heuberger, P.1
Van den Hof, P.M.J.2
Bosgra, O.3
-
31
-
-
0030143276
-
On approximation of stable linear dynamical systems using Laguerre and Kautz functions
-
B. Wahlberg and P. M. Mäkilä, "On approximation of stable linear dynamical systems using Laguerre and Kautz functions," Automatica vol. 32, pp. 693-708, 1996.
-
(1996)
Automatica
, vol.32
, pp. 693-708
-
-
Wahlberg, B.1
Mäkilä, P.M.2
-
32
-
-
0032201979
-
Generalized Fourier and Toeplitz results for rational orthonormal bases
-
B. Ninness, H. Hjalmarsson, and F. Gustafsson, "Generalized Fourier and Toeplitz results for rational orthonormal bases," SIAM J. Contr. Optim., vol. 37, pp. 429-460, 1998.
-
(1998)
SIAM J. Contr. Optim
, vol.37
, pp. 429-460
-
-
Ninness, B.1
Hjalmarsson, H.2
Gustafsson, F.3
-
33
-
-
0344210416
-
Orthonormal basis functions for modelling continuous-time systems
-
H. Akçay and B. Ninness, "Orthonormal basis functions for modelling continuous-time systems," Signal Process., vol. 77, pp. 261-274, 1999.
-
(1999)
Signal Process
, vol.77
, pp. 261-274
-
-
Akçay, H.1
Ninness, B.2
-
34
-
-
0342732861
-
p convergence
-
p convergence," Math. Contr., Signals, Syst., vol. 12, pp. 295-305, 1999.
-
(1999)
Math. Contr., Signals, Syst
, vol.12
, pp. 295-305
-
-
Akçay, H.1
Ninness, B.2
-
35
-
-
0038853696
-
On the generalized Laguerre polynomials of arbitrary (fractional) orders and quantum mechanics
-
A. M. E. Sayed, "On the generalized Laguerre polynomials of arbitrary (fractional) orders and quantum mechanics," J. Phys. A: Math. General, vol. 32, pp. 8647-8654, 1999.
-
(1999)
J. Phys. A: Math. General
, vol.32
, pp. 8647-8654
-
-
Sayed, A.M.E.1
-
36
-
-
0034721622
-
Generalized Laguerre polynomials and quantum mechanics
-
P. C. Abbott, "Generalized Laguerre polynomials and quantum mechanics," J. Phys. A: Math. General, vol. 33, pp. 7659-7660, 2000.
-
(2000)
J. Phys. A: Math. General
, vol.33
, pp. 7659-7660
-
-
Abbott, P.C.1
-
37
-
-
34547597044
-
Synthesis of fractional Laguerre basis for system approximation
-
M. Aoun, R. Malti, F. Levron, and A. Oustaloup, "Synthesis of fractional Laguerre basis for system approximation," Automatica, vol. 43, pp. 1640-1648, 2007.
-
(2007)
Automatica
, vol.43
, pp. 1640-1648
-
-
Aoun, M.1
Malti, R.2
Levron, F.3
Oustaloup, A.4
-
38
-
-
3042685548
-
Synthesis of fractional Kautz-like basis with two periodically repeating complex conjugate modes
-
R. Malti, M. R. Aoun, and A. Oustaloup, "Synthesis of fractional Kautz-like basis with two periodically repeating complex conjugate modes," in Proc. 1st Int. Symp. Contr., Commun. Signal Process. (ISCCSP), 2004, pp. 835-839.
-
(2004)
Proc. 1st Int. Symp. Contr., Commun. Signal Process. (ISCCSP)
, pp. 835-839
-
-
Malti, R.1
Aoun, M.R.2
Oustaloup, A.3
-
42
-
-
0026124343
-
Fractional order state equations for the control of viscoelastic structures
-
R. L. Bagley and R. A. Calico, "Fractional order state equations for the control of viscoelastic structures," J. Guidance, Contr., Dyn. vol. 14, pp. 304-311, 1991.
-
(1991)
J. Guidance, Contr., Dyn
, vol.14
, pp. 304-311
-
-
Bagley, R.L.1
Calico, R.A.2
-
43
-
-
0036650827
-
Dynamics and control of initialized fractional-order systems
-
T. T. Hartley and C. F. Lorenzo, "Dynamics and control of initialized fractional-order systems," Nonlinear Dyn., vol. 29, pp. 201-233, 2002.
-
(2002)
Nonlinear Dyn
, vol.29
, pp. 201-233
-
-
Hartley, T.T.1
Lorenzo, C.F.2
-
44
-
-
0036869926
-
Treatment of dynamic systems with fractional derivatives without evaluating memory-integrals
-
C. Trinks and P. Ruge, "Treatment of dynamic systems with fractional derivatives without evaluating memory-integrals," Computat. Mech. vol. 29, pp. 471-476, 2002.
-
(2002)
Computat. Mech
, vol.29
, pp. 471-476
-
-
Trinks, C.1
Ruge, P.2
-
45
-
-
15544369618
-
Impulse responses of fractional damped systems
-
I. Schäfer and S. Kempfle, "Impulse responses of fractional damped systems," Nonlinear Dyn., vol. 38, pp. 61-68, 2004.
-
(2004)
Nonlinear Dyn
, vol.38
, pp. 61-68
-
-
Schäfer, I.1
Kempfle, S.2
-
46
-
-
3042854552
-
Inverting fractional order transfer functions through Laguerre approximation
-
G. Mainone, "Inverting fractional order transfer functions through Laguerre approximation," Syst. Contr. Lett., vol. 52, pp. 387-393.
-
Syst. Contr. Lett
, vol.52
, pp. 387-393
-
-
Mainone, G.1
|