-
1
-
-
55249087154
-
Necessary and sufficient stability condition of fractional-order interval linear systems
-
2527230 1152.93455 10.1016/j.automatica.2008.07.003
-
H.S. Ahn and Y.Q. Chen, Necessary and sufficient stability condition of fractional-order interval linear systems. Automatica 44, No 11 (2008), 2985-2988.
-
(2008)
Automatica
, vol.44
, Issue.11
, pp. 2985-2988
-
-
Ahn, H.S.1
Chen, Y.Q.2
-
2
-
-
34247502196
-
Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality
-
2323551 1123.93074 10.1016/j.amc.2006.08.099
-
H.S. Ahn, Y.Q. Chen, and I. Podlubny, Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality. Appl. Math. Comput. 187, No 1 (2007), 27-34.
-
(2007)
Appl. Math. Comput
, vol.187
, Issue.1
, pp. 27-34
-
-
Ahn, H.S.1
Chen, Y.Q.2
Podlubny, I.3
-
3
-
-
0036642801
-
Analysis of fractional delay systems of retarded and neutral type
-
2133473 1007.93065 10.1016/S0005-1098(01)00306-5
-
C. Bonnet and J.R. Partington, Analysis of fractional delay systems of retarded and neutral type. Automatica 38, No 7 (2002), 1133-1138.
-
(2002)
Automatica
, vol.38
, Issue.7
, pp. 1133-1138
-
-
Bonnet, C.1
Partington, J.R.2
-
4
-
-
0033334076
-
Robust pole placement in LMI regions
-
1728961 1136.93352 10.1109/9.811208
-
M. Chilali, P. Gahinet, and P. Apkarian, Robust pole placement in LMI regions. IEEE Trans. Autom. Control 44, No 12 (1999), 2257-2270.
-
(1999)
IEEE Trans. Autom. Control
, vol.44
, Issue.12
, pp. 2257-2270
-
-
Chilali, M.1
Gahinet, P.2
Apkarian, P.3
-
5
-
-
33745872964
-
Robust stability check of fractional order linear time invariant systems with interval uncertainties
-
1172.94385 10.1016/j.sigpro.2006.02.011
-
Y.Q. Chen, H.S. Ahn, and I. Podlubny, Robust stability check of fractional order linear time invariant systems with interval uncertainties. Signal Processing 86, No 10 (2006), 2611-2618.
-
(2006)
Signal Processing
, vol.86
, Issue.10
, pp. 2611-2618
-
-
Chen, Y.Q.1
Ahn, H.S.2
Podlubny, I.3
-
6
-
-
17844372193
-
Recent applications of fractional calculus to science and engineering
-
2025566 10.1155/S0161171203301486
-
L. Debnath, Recent applications of fractional calculus to science and engineering. Int. J. Math. Math. Sci. 54, (2003), 3413-3442.
-
(2003)
Int. J. Math. Math. Sci
, vol.54
, pp. 3413-3442
-
-
Debnath, L.1
-
7
-
-
0032290288
-
Some stability conditions for fractional delay systems
-
1651287
-
R. Hotzel, Some stability conditions for fractional delay systems. J. of Mathematical Systems, Estimation, and Control 8, No 4 (1998), 1-19.
-
(1998)
J. of Mathematical Systems, Estimation, and Control
, vol.8
, Issue.4
, pp. 1-19
-
-
Hotzel, R.1
-
8
-
-
33645135087
-
A numerical algorithm for stability testing of fractional delay systems
-
2207823 1137.93375 10.1016/j.automatica.2006.01.008
-
C. Hwang and Y.C. Cheng, A numerical algorithm for stability testing of fractional delay systems. Automatica 42, No 5 (2006), 825-831.
-
(2006)
Automatica
, vol.42
, Issue.5
, pp. 825-831
-
-
Hwang, C.1
Cheng, Y.C.2
-
9
-
-
80051682888
-
Stability analysis of fractional-order systems with double noncommensurate orders for matrix case
-
2837640
-
Z. Jiao and Y.Q. Chen, Stability analysis of fractional-order systems with double noncommensurate orders for matrix case. Fract. Calc. Appl. Anal. 14, No 3 (2011), 436-453; DOI:10.2478/s13540-011-0027-3; http://link.springer.com/ article/10.2478/s13540-011-0027-3.
-
(2011)
Fract. Calc. Appl. Anal
, vol.14
, Issue.3
, pp. 436-453
-
-
Jiao, Z.1
Chen, Y.Q.2
-
10
-
-
84862673641
-
Impulse response of a generalized fractional second order filter
-
2872113
-
Z. Jiao and Y.Q. Chen, Impulse response of a generalized fractional second order filter. Fract. Calc. Appl. Anal. 15, No 1 (2012), 97-116; DOI:10.2478/s13540-012-0007-2; http://link.springer.com/article/10.2478/s13540- 012-0007-2.
-
(2012)
Fract. Calc. Appl. Anal
, vol.15
, Issue.1
, pp. 97-116
-
-
Jiao, Z.1
Chen, Y.Q.2
-
11
-
-
20344404179
-
An improved LMI-based D-stability condition for polytopic uncertain systems
-
Taipei, Taiwan
-
Y.S. Liu, C.H. Fang, S.W. Kau, and L. Hong, An improved LMI-based D-stability condition for polytopic uncertain systems. In: 2004 IEEE Intern. Symp. on Computer Aided Control Systems Design, Taipei, Taiwan (2004), 237-242.
-
(2004)
2004 IEEE Intern. Symp. on Computer Aided Control Systems Design
, pp. 237-242
-
-
Liu, Y.S.1
Fang, C.H.2
Kau, S.W.3
Hong, L.4
-
12
-
-
15544369413
-
Special issue on fractional calculus and applications
-
13101 10.1023/A:1016508704745
-
J.A.T. Machado (Guest Editor), Special issue on fractional calculus and applications. Nonlinear Dynam. 29, No 1-4 (2002), 1-385.
-
(2002)
Nonlinear Dynam
, vol.29
, Issue.1-4
, pp. 1-385
-
-
MacHado, J.A.T.1
-
13
-
-
0001595866
-
The non-integer integral and its application to control systems
-
S. Manabe, The non-integer integral and its application to control systems. J. IEE Japan 80, No 860 (1960), 589-597.
-
(1960)
J. IEE Japan
, vol.80
, Issue.860
, pp. 589-597
-
-
Manabe, S.1
-
14
-
-
0036648507
-
A suggestion of fractional-order controller for flexible spacecraft attitude control
-
1018.74028 10.1023/A:1016566017098
-
S. Manabe, A suggestion of fractional-order controller for flexible spacecraft attitude control. Nonlinear Dynam. 29, No 1-4 (2002), 251-268.
-
(2002)
Nonlinear Dynam
, vol.29
, Issue.1-4
, pp. 251-268
-
-
Manabe, S.1
-
15
-
-
0002731965
-
Stability result on fractional differential equations with applications to control processing
-
Lille, France
-
D. Matignon, Stability result on fractional differential equations with applications to control processing. In: IMACS, IEEE-SMC, Lille, France (1996), 963-968.
-
(1996)
IMACS, IEEE-SMC
, pp. 963-968
-
-
Matignon, D.1
-
16
-
-
0031357177
-
Observer-based controllers for fractional differential systems
-
San Diego, California
-
D. Matignon and B. d'Andréa-Novel, Observer-based controllers for fractional differential systems. In: Proc. 36th IEEE Conf. on Decision and Control, San Diego, California (1997), 4967-4972.
-
(1997)
Proc. 36th IEEE Conf. on Decision and Control
, pp. 4967-4972
-
-
D. Matignon1
-
17
-
-
0000196448
-
Basic characteristics of a fractance device
-
M. Nakagava and K. Sorimachi, Basic characteristics of a fractance device. IEICE Trans. Fund. E75-A, No 12 (1992), 1814-1818.
-
(1992)
IEICE Trans. Fund
, vol.75
, Issue.12
, pp. 1814-1818
-
-
Nakagava, M.1
Sorimachi, K.2
-
18
-
-
0033872505
-
Introduction to fractional linear systems. Part 1: Continuous-time case
-
10.1049/ip-vis:20000272
-
M.D. Ortigueira, Introduction to fractional linear systems. Part 1: Continuous-time case. IEE Proc. Vis. Image Signal Process. 147, No 1 (2000), 62-70.
-
(2000)
IEE Proc. Vis. Image Signal Process
, vol.147
, Issue.1
, pp. 62-70
-
-
Ortigueira, M.D.1
-
19
-
-
0141892682
-
Special issue on fractional signal processing and applications
-
10.1016/S0165-1684(03)00181-6
-
M.D. Ortigueira and J.A.T. Machado (Guest Editors), Special issue on fractional signal processing and applications. Signal Processing 83, No 11 (2003), 2285-2480.
-
(2003)
Signal Processing
, vol.83
, Issue.11
, pp. 2285-2480
-
-
Ortigueira, M.D.1
MacHado, J.A.T.2
-
20
-
-
85019485305
-
The CRONE control of resonant plants: Application to a flexible transmission
-
A. Oustaloup, B. Mathieu, and P. Lanusse, The CRONE control of resonant plants: application to a flexible transmission. European J. of Control 1, No 2 (1995), 113-121.
-
(1995)
European J. of Control
, vol.1
, Issue.2
, pp. 113-121
-
-
Oustaloup, A.1
Mathieu, B.2
Lanusse, P.3
-
21
-
-
0002588085
-
A new robust D-stability condition for convex polytopic uncertainty
-
1829071 0977.93067 10.1016/S0167-6911(99)00119-X
-
D. Peaucelle, D. Arzelier, O. Bachelier, and J. Bernussou, A new robust D-stability condition for convex polytopic uncertainty. Systems and Control letters 40, No 1 (2000), 21-30.
-
(2000)
Systems and Control Letters
, vol.40
, Issue.1
, pp. 21-30
-
-
Peaucelle, D.1
Arzelier, D.2
Bachelier, O.3
Bernussou, J.4
-
23
-
-
0032653954
-
Fractional-order systems and PIλ Dμ -controllers
-
1666937 1056.93542 10.1109/9.739144
-
I. Podlubny, Fractional-order systems and PIλ Dμ -controllers. IEEE Trans. Autom. Control 44, No 1 (1999), 208-214.
-
(1999)
IEEE Trans. Autom. Control
, vol.44
, Issue.1
, pp. 208-214
-
-
Podlubny, I.1
-
24
-
-
0036531228
-
An LMI condition for the robust stability of uncertain continuous-time linear systems
-
1893528 10.1109/9.995048
-
D.C.W. Ramos and P.L.D. Peres, An LMI condition for the robust stability of uncertain continuous-time linear systems. IEEE Trans. Autom. Control 47, No 4 (2002), 675-678.
-
(2002)
IEEE Trans. Autom. Control
, vol.47
, Issue.4
, pp. 675-678
-
-
Ramos, D.C.W.1
Peres, P.L.D.2
-
25
-
-
0343715573
-
State-space representation for fractional order controllers
-
1829699 0964.93024 10.1016/S0005-1098(00)00011-X
-
H. Raynaud and A. Zergaïnoh, State-space representation for fractional order controllers. Automatica 36, No 7 (2000), 1017-1021.
-
(2000)
Automatica
, vol.36
, Issue.7
, pp. 1017-1021
-
-
Raynaud, H.1
Zergaïnoh, A.2
-
26
-
-
76649139783
-
LMI stability conditions for fractional order systems
-
2595931 1189.34020 10.1016/j.camwa.2009.08.003
-
J. Sabatier, M. Moze, and C. Farges, LMI stability conditions for fractional order systems. Computers and Math. with Appl. 59, No 5 (2010), 1594-1609.
-
(2010)
Computers and Math. with Appl
, vol.59
, Issue.5
, pp. 1594-1609
-
-
Sabatier, J.1
Moze, M.2
Farges, C.3
-
27
-
-
0023997891
-
Stability of viscoelastic control systems
-
931198 0641.93051 10.1109/9.192189
-
S.B. Skaar, A.N. Michel, and R.K. Miller, Stability of viscoelastic control systems. IEEE Trans. on Autom. Control 33, No 4 (1988), 348-357.
-
(1988)
IEEE Trans. on Autom. Control
, vol.33
, Issue.4
, pp. 348-357
-
-
Skaar, S.B.1
Michel, A.N.2
Miller, R.K.3
-
29
-
-
61549083723
-
Robust stability analysis of fractional order interval polynomials
-
10.1016/j.isatra.2009.01.002
-
N. Tan, Ö. F. Özgüven, and M.M. Özyetkin, Robust stability analysis of fractional order interval polynomials. ISA Transactions 48, No 2 (2009), 166-172.
-
(2009)
ISA Transactions
, vol.48
, Issue.2
, pp. 166-172
-
-
Tan, N.1
Özgüven, Ö.F.F.2
Özyetkin, M.M.3
-
30
-
-
57649105528
-
A note on the stability of fractional order systems
-
2488105 1168.34036 10.1016/j.matcom.2008.07.003
-
M.S. Tavazoei and M. Haeri, A note on the stability of fractional order systems. Mathematics and Computers in Simulation 79, No 5 (2009), 1566-1576.
-
(2009)
Mathematics and Computers in Simulation
, vol.79
, Issue.5
, pp. 1566-1576
-
-
Tavazoei, M.S.1
Haeri, M.2
-
33
-
-
84869185268
-
The fBm-driven Ornstein- Uhlenbeck process: Probability density function and anomalous diffusion
-
2944112
-
C.B. Zeng, Y.Q. Chen, and Q.G. Yang, The fBm-driven Ornstein- Uhlenbeck process: probability density function and anomalous diffusion. Fract. Calc. Appl. Anal. 15, No 3 (2012), 479-492; DOI:10.2478/s13540-012-0034-z; http://link.springer.com/article/10.2478/s13540-012-0034-z.
-
(2012)
Fract. Calc. Appl. Anal
, vol.15
, Issue.3
, pp. 479-492
-
-
Zeng, C.B.1
Chen, Y.Q.2
Yang, Q.G.3
-
34
-
-
0142137660
-
Quadratic stabilizability of switched linear systems with polytopic unertainties
-
1979895 1034.93055 10.1080/0020717031000114968
-
G.S. Zhai, H. Lin, and P.J. Antsaklis, Quadratic stabilizability of switched linear systems with polytopic unertainties. Int. J. Control 76, No 7 (2003), 747-753.
-
(2003)
Int. J. Control
, vol.76
, Issue.7
, pp. 747-753
-
-
Zhai, G.S.1
Lin, H.2
Antsaklis, P.J.3
|