-
1
-
-
79951579980
-
Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller
-
Pourmahmood M., Khanmohammadi S., Alizadeh G. Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller. Commun Nonlinear Sci Numer Simulat 2011, 16:2853-2868.
-
(2011)
Commun Nonlinear Sci Numer Simulat
, vol.16
, pp. 2853-2868
-
-
Pourmahmood, M.1
Khanmohammadi, S.2
Alizadeh, G.3
-
2
-
-
79951942421
-
Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique
-
Aghababa M.P., Khanmohammadi S., Alizadeh G. Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique. Appl Math Model 2011, 35:3080-3091.
-
(2011)
Appl Math Model
, vol.35
, pp. 3080-3091
-
-
Aghababa, M.P.1
Khanmohammadi, S.2
Alizadeh, G.3
-
3
-
-
79961116763
-
Adaptive finite-time stabilization of uncertain non-autonomous chaotic electromechanical gyrostat systems with unknown parameters
-
Aghababa M.P., Aghababa H.P. Adaptive finite-time stabilization of uncertain non-autonomous chaotic electromechanical gyrostat systems with unknown parameters. Mech Res Commun 2011, 38:500-505.
-
(2011)
Mech Res Commun
, vol.38
, pp. 500-505
-
-
Aghababa, M.P.1
Aghababa, H.P.2
-
4
-
-
80053122044
-
A novel adaptive finite-time controller for synchronizing chaotic gyros with nonlinear inputs
-
Aghababa M.P. A novel adaptive finite-time controller for synchronizing chaotic gyros with nonlinear inputs. Chin Phys B 2011, 20:090505.
-
(2011)
Chin Phys B
, vol.20
, pp. 090505
-
-
Aghababa, M.P.1
-
5
-
-
84858864033
-
Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties
-
Aghababa M.P., Aghababa H.P. Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties. Nonlinear Dynam 2011, 10.1007/s11071-011-0181-5.
-
(2011)
Nonlinear Dynam
-
-
Aghababa, M.P.1
Aghababa, H.P.2
-
6
-
-
79959492925
-
A nonlinear fractional viscoelastic material model for polymers
-
Müller S., Kästner M., Brummund J., Ulbricht V. A nonlinear fractional viscoelastic material model for polymers. Comput Mater Sci 2011, 50:2938-2949.
-
(2011)
Comput Mater Sci
, vol.50
, pp. 2938-2949
-
-
Müller, S.1
Kästner, M.2
Brummund, J.3
Ulbricht, V.4
-
7
-
-
77957375943
-
Nonlinear dynamic analysis of fractional order rub-impact rotor system
-
Cao J., Ma C., Jiang Z., Liu S. Nonlinear dynamic analysis of fractional order rub-impact rotor system. Commun Nonlinear Sci Numer Simulat 2011, 16:1443-1463.
-
(2011)
Commun Nonlinear Sci Numer Simulat
, vol.16
, pp. 1443-1463
-
-
Cao, J.1
Ma, C.2
Jiang, Z.3
Liu, S.4
-
8
-
-
79957736156
-
Theory of fractional order in generalized thermoelectric MHD
-
Ezzat M.A. Theory of fractional order in generalized thermoelectric MHD. Appl Math Model 2011, 35:4965-4978.
-
(2011)
Appl Math Model
, vol.35
, pp. 4965-4978
-
-
Ezzat, M.A.1
-
9
-
-
47849129193
-
Mathematical modeling of time fractional reaction-diffusion systems
-
Gafiychuk V., Datsko B., Meleshko V. Mathematical modeling of time fractional reaction-diffusion systems. J Comput Appl Math 2008, 220:215-225.
-
(2008)
J Comput Appl Math
, vol.220
, pp. 215-225
-
-
Gafiychuk, V.1
Datsko, B.2
Meleshko, V.3
-
11
-
-
0034517069
-
Fractional market dynamics
-
Laskin N. Fractional market dynamics. Physica A 2000, 287:482-492.
-
(2000)
Physica A
, vol.287
, pp. 482-492
-
-
Laskin, N.1
-
12
-
-
79955465694
-
A fractional order SEIR model with vertical transmission
-
Özalp N., Demirci E. A fractional order SEIR model with vertical transmission. Math Comput Model 2011, 54:1-6.
-
(2011)
Math Comput Model
, vol.54
, pp. 1-6
-
-
Özalp, N.1
Demirci, E.2
-
13
-
-
79551504874
-
Experimental study of fractional order proportional derivative controller synthesis for fractional order systems
-
Luo Y., Chen Y.Q., Pi Y. Experimental study of fractional order proportional derivative controller synthesis for fractional order systems. Mechatronics 2011, 21:204-214.
-
(2011)
Mechatronics
, vol.21
, pp. 204-214
-
-
Luo, Y.1
Chen, Y.Q.2
Pi, Y.3
-
14
-
-
79960978218
-
Fractional-order impulse response of the respiratory system
-
Ionescu C., Machado J.T., De Keyser R. Fractional-order impulse response of the respiratory system. Comput Math Appl. 2011, 62:845-854.
-
(2011)
Comput Math Appl.
, vol.62
, pp. 845-854
-
-
Ionescu, C.1
Machado, J.T.2
De Keyser, R.3
-
15
-
-
79960255427
-
Simulation of drug uptake in a two compartmental fractional model for a biological system
-
Petràš I., Magin R.L. Simulation of drug uptake in a two compartmental fractional model for a biological system. Commun Nonlinear Sci Numer Simulat 2011, 16:4588-4595.
-
(2011)
Commun Nonlinear Sci Numer Simulat
, vol.16
, pp. 4588-4595
-
-
Petràš, I.1
Magin, R.L.2
-
16
-
-
70449111273
-
A fractional order model for lead-acid battery crankability estimation
-
Sabatier J., Cugnet M., Laruelle S., Grugeon S., Sahut B., Oustaloup A., et al. A fractional order model for lead-acid battery crankability estimation. Commun Nonlinear Sci Numer Simulat 2010, 15:1308-1317.
-
(2010)
Commun Nonlinear Sci Numer Simulat
, vol.15
, pp. 1308-1317
-
-
Sabatier, J.1
Cugnet, M.2
Laruelle, S.3
Grugeon, S.4
Sahut, B.5
Oustaloup, A.6
-
17
-
-
23144435914
-
A note on the fractional-order Chen system
-
Lu J.G., Chen G. A note on the fractional-order Chen system. Chaos Soliton Fract 2006, 27:685-688.
-
(2006)
Chaos Soliton Fract
, vol.27
, pp. 685-688
-
-
Lu, J.G.1
Chen, G.2
-
18
-
-
33646366905
-
Chaotic dynamics of the fractional-order Lu system and its synchronization
-
Lu J.G. Chaotic dynamics of the fractional-order Lu system and its synchronization. Phys Lett A 2006, 354:305-311.
-
(2006)
Phys Lett A
, vol.354
, pp. 305-311
-
-
Lu, J.G.1
-
19
-
-
3342927052
-
Chaos and hyperchaos in the fractional-order Rossler equations
-
Li C., Chen G. Chaos and hyperchaos in the fractional-order Rossler equations. Phys A: Stat Mech Appl 2004, 341:55-61.
-
(2004)
Phys A: Stat Mech Appl
, vol.341
, pp. 55-61
-
-
Li, C.1
Chen, G.2
-
20
-
-
19144371559
-
Chaotic dynamics and synchronization of fractional-order Arneodo's systems
-
Lu J.G. Chaotic dynamics and synchronization of fractional-order Arneodo's systems. Chaos Soliton Fract 2005, 26:1125-1133.
-
(2005)
Chaos Soliton Fract
, vol.26
, pp. 1125-1133
-
-
Lu, J.G.1
-
21
-
-
77952741594
-
Chaos in fractional conjugate Lorenz system and its scaling attractors
-
Yang Q., Zeng C. Chaos in fractional conjugate Lorenz system and its scaling attractors. Commun Nonlinear Sci Numer Simulat 2010, 15:4041-4051.
-
(2010)
Commun Nonlinear Sci Numer Simulat
, vol.15
, pp. 4041-4051
-
-
Yang, Q.1
Zeng, C.2
-
22
-
-
41849090145
-
Chaos in the fractional order unified system and its synchronization
-
Wu X., Li Ji., Chen Gu. Chaos in the fractional order unified system and its synchronization. J Frank Inst 2008, 345:392-401.
-
(2008)
J Frank Inst
, vol.345
, pp. 392-401
-
-
Wu, X.1
Li, J.2
Chen, G.3
-
23
-
-
23744466023
-
Chaotic dynamics and synchronization of fractional-order Genesio-Tesi systems
-
Guo L.J. Chaotic dynamics and synchronization of fractional-order Genesio-Tesi systems. Chin Phys B 2005, 14:1517-1521.
-
(2005)
Chin Phys B
, vol.14
, pp. 1517-1521
-
-
Guo, L.J.1
-
24
-
-
63449132495
-
Chaos and synchronization of the fractional-order Chua's system
-
Zhu H., Zhou S., Zhang J. Chaos and synchronization of the fractional-order Chua's system. Chaos Soliton Fract 2009, 39:1595-1603.
-
(2009)
Chaos Soliton Fract
, vol.39
, pp. 1595-1603
-
-
Zhu, H.1
Zhou, S.2
Zhang, J.3
-
25
-
-
34147144036
-
Chaos in a fractional order modified Duffing system
-
Ge Z.-M., Ou C.-Y. Chaos in a fractional order modified Duffing system. Chaos Soliton Fract 2007, 34:262-291.
-
(2007)
Chaos Soliton Fract
, vol.34
, pp. 262-291
-
-
Ge, Z.-M.1
Ou, C.-Y.2
-
26
-
-
72149089014
-
Chaos control of a fractional order modified coupled dynamos system
-
Wang X.-Y., He Y.-J., Wang M.-J. Chaos control of a fractional order modified coupled dynamos system. Nonlinear Anal 2009, 71:6126-6134.
-
(2009)
Nonlinear Anal
, vol.71
, pp. 6126-6134
-
-
Wang, X.-Y.1
He, Y.-J.2
Wang, M.-J.3
-
27
-
-
67849086834
-
Synchronizing chaotic systems using control based on a special matrix structure and extending to fractional chaotic systems
-
Hu J., Han Y., Zhao L. Synchronizing chaotic systems using control based on a special matrix structure and extending to fractional chaotic systems. Commun Nonlinear Sci Numer Simulat 2010, 15:115-123.
-
(2010)
Commun Nonlinear Sci Numer Simulat
, vol.15
, pp. 115-123
-
-
Hu, J.1
Han, Y.2
Zhao, L.3
-
28
-
-
33847065079
-
Synchronization of fractional order chaotic systems
-
Peng G. Synchronization of fractional order chaotic systems. Phys Lett A 2007, 363:426-432.
-
(2007)
Phys Lett A
, vol.363
, pp. 426-432
-
-
Peng, G.1
-
29
-
-
71849117613
-
Synchronization in coupled nonidentical incommensurate fractional-order systems
-
Wang J.-W., Zhang Y.-B. Synchronization in coupled nonidentical incommensurate fractional-order systems. Phys Lett A 2009, 374:202-207.
-
(2009)
Phys Lett A
, vol.374
, pp. 202-207
-
-
Wang, J.-W.1
Zhang, Y.-B.2
-
30
-
-
77952883806
-
Synchronization and anti-synchronization of new uncertain fractional-order modified unified chaotic systems
-
Pan L., Zhou W., Fang J., Li D. Synchronization and anti-synchronization of new uncertain fractional-order modified unified chaotic systems. Commun Nonlinear Sci Numer Simulat 2010, 15:3754-3762.
-
(2010)
Commun Nonlinear Sci Numer Simulat
, vol.15
, pp. 3754-3762
-
-
Pan, L.1
Zhou, W.2
Fang, J.3
Li, D.4
-
31
-
-
78651449513
-
Comments on "Synchronization and anti-synchronization of new uncertain fractional-order modified unified chaotic systems via novel active pinning control" [Commun Nonlinear Sci Numer Simulat 2010;15:3754-3762]
-
Asheghan M.M., Beheshti M.T.H., Tavazoei M.S. Comments on "Synchronization and anti-synchronization of new uncertain fractional-order modified unified chaotic systems via novel active pinning control" [Commun Nonlinear Sci Numer Simulat 2010;15:3754-3762]. Commun Nonlinear Sci Numer Simulat 2011, 16:2656-2657.
-
(2011)
Commun Nonlinear Sci Numer Simulat
, vol.16
, pp. 2656-2657
-
-
Asheghan, M.M.1
Beheshti, M.T.H.2
Tavazoei, M.S.3
-
32
-
-
27344435782
-
Nonlinear observer design to synchronize fractional-order chaotic systems via a scalar transmitted signal
-
Lu J.G. Nonlinear observer design to synchronize fractional-order chaotic systems via a scalar transmitted signal. Physica A 2006, 359:107-118.
-
(2006)
Physica A
, vol.359
, pp. 107-118
-
-
Lu, J.G.1
-
33
-
-
49749138518
-
Impulsive control for fractional-order chaotic systems
-
Zhong Q.-S., Bao J.-F., Yu Y.-B., Liao X.-F. Impulsive control for fractional-order chaotic systems. Chin Phys Lett 2008, 25:2812.
-
(2008)
Chin Phys Lett
, vol.25
, pp. 2812
-
-
Zhong, Q.-S.1
Bao, J.-F.2
Yu, Y.-B.3
Liao, X.-F.4
-
34
-
-
80052419705
-
∞ synchronization of uncertain fractional order chaotic systems: adaptive fuzzy approach
-
∞ synchronization of uncertain fractional order chaotic systems: adaptive fuzzy approach. ISA Trans 2011, 50:548-556.
-
(2011)
ISA Trans
, vol.50
, pp. 548-556
-
-
Lin, T.-C.1
Kuo, C.-H.2
-
35
-
-
85196146629
-
Comments on "H_inf_synchronization of uncertain fractional order chaotic systems
-
Adaptive fuzzy approach" [ISA Trans 50 (2011)]. doi:10.1016/j.isatra.2011.10.011doi:10.1016/j.isatra.2011.10.011.
-
Aghababa MP. Comments on "H_inf_synchronization of uncertain fractional order chaotic systems: Adaptive fuzzy approach" [ISA Trans 50 (2011) 548-556]. 2011. doi:10.1016/j.isatra.2011.10.011. doi:10.1016/j.isatra.2011.10.011.
-
(2011)
, pp. 548-556
-
-
Aghababa, M.P.1
-
36
-
-
77952237940
-
Synchronization of different fractional order chaotic systems using active control
-
Bhalekar S., Daftardar-Gejji V. Synchronization of different fractional order chaotic systems using active control. Commun Nonlinear Sci Numer Simulat 2010, 15:3536-3546.
-
(2010)
Commun Nonlinear Sci Numer Simulat
, vol.15
, pp. 3536-3546
-
-
Bhalekar, S.1
Daftardar-Gejji, V.2
-
37
-
-
78651458664
-
Chaos synchronization between two different fractional-order hyperchaotic systems
-
Pan L., Zhou W., g Zhou L., Sun K. Chaos synchronization between two different fractional-order hyperchaotic systems. Commun Nonlinear Sci Numer Simulat 2011, 16:2628-2640.
-
(2011)
Commun Nonlinear Sci Numer Simulat
, vol.16
, pp. 2628-2640
-
-
Pan, L.1
Zhou, W.2
g Zhou, L.3
Sun, K.4
-
38
-
-
41649105825
-
Generalized projective synchronization of fractional order chaotic systems
-
Penga G., Jianga Y., Chen F. Generalized projective synchronization of fractional order chaotic systems. Physica A 2008, 387:3738-3746.
-
(2008)
Physica A
, vol.387
, pp. 3738-3746
-
-
Penga, G.1
Jianga, Y.2
Chen, F.3
-
39
-
-
77956178737
-
Hybrid projective synchronization of chaotic fractional order systems with different dimensions
-
Wang S., Yu Y., Diao M. Hybrid projective synchronization of chaotic fractional order systems with different dimensions. Physica A 2010, 389:4981-4988.
-
(2010)
Physica A
, vol.389
, pp. 4981-4988
-
-
Wang, S.1
Yu, Y.2
Diao, M.3
-
40
-
-
79955688348
-
Lag projective synchronization in fractional-order chaotic (hyperchaotic) systems
-
Chen L., Chaia Y., Wu R. Lag projective synchronization in fractional-order chaotic (hyperchaotic) systems. Phys Lett A 2011, 375:2099-2110.
-
(2011)
Phys Lett A
, vol.375
, pp. 2099-2110
-
-
Chen, L.1
Chaia, Y.2
Wu, R.3
-
41
-
-
79955959164
-
Phase and anti-phase synchronization of fractional order chaotic systems via active control
-
Taghvafard H., Erjaee G.H. Phase and anti-phase synchronization of fractional order chaotic systems via active control. Commun Nonlinear Sci Numer Simulat 2011, 16:4079-4088.
-
(2011)
Commun Nonlinear Sci Numer Simulat
, vol.16
, pp. 4079-4088
-
-
Taghvafard, H.1
Erjaee, G.H.2
-
42
-
-
35748971445
-
Synchronization of chaotic fractional-order systems via active sliding mode controller
-
Tavazoei M.S., Haeri M. Synchronization of chaotic fractional-order systems via active sliding mode controller. Physica A 2008, 387:57-70.
-
(2008)
Physica A
, vol.387
, pp. 57-70
-
-
Tavazoei, M.S.1
Haeri, M.2
-
43
-
-
76449089238
-
Sliding mode synchronization of an uncertain fractional order chaotic system
-
Hosseinnia S.H., Ghaderi R., Ranjbar A., Mahmoudian M., Momani S. Sliding mode synchronization of an uncertain fractional order chaotic system. Comput Math Appl 2010, 59:1637-1643.
-
(2010)
Comput Math Appl
, vol.59
, pp. 1637-1643
-
-
Hosseinnia, S.H.1
Ghaderi, R.2
Ranjbar, A.3
Mahmoudian, M.4
Momani, S.5
-
44
-
-
80053384636
-
Design of sliding mode controller for a class of fractional-order chaotic systems
-
Yin C., Zhonga S.-M., Chen W.-F. Design of sliding mode controller for a class of fractional-order chaotic systems. Commun Nonlinear Sci Numer Simulat 2012, 17:356-366.
-
(2012)
Commun Nonlinear Sci Numer Simulat
, vol.17
, pp. 356-366
-
-
Yin, C.1
Zhonga, S.-M.2
Chen, W.-F.3
-
45
-
-
82255193992
-
Control of a class of fractional-order chaotic systems via sliding mode
-
Chen D.-Y., Liu Y.-X., Ma X.-Y., Zhang R.-F. Control of a class of fractional-order chaotic systems via sliding mode. Nonlinear Dynam 2011, 10.1007/s11071-011-0002-x.
-
(2011)
Nonlinear Dynam
-
-
Chen, D.-Y.1
Liu, Y.-X.2
Ma, X.-Y.3
Zhang, R.-F.4
-
46
-
-
85196213347
-
-
Comments on "Design of sliding mode controller for a class of fractional-order chaotic systems" [Commun Nonlinear Sci Numer Simulat 17]. Commun Nonlinear Sci Numer Simulat 2012;17:1485-8.
-
Aghababa MP. Comments on "Design of sliding mode controller for a class of fractional-order chaotic systems" [Commun Nonlinear Sci Numer Simulat 17 (2012) 356-366]. Commun Nonlinear Sci Numer Simulat 2012;17:1485-8.
-
(2012)
, pp. 356-366
-
-
Aghababa, M.P.1
-
47
-
-
82255175887
-
-
Comments on "Adaptive synchronization of fractional-order chaotic systems via a single driving variable" [Nonlinear Dyn]. Nonlinear Dynam 2011. doi:10.1007/s11071-011-0216-y. doi:10.1007/s11071-011-0216-y
-
Aghababa MP. Comments on "Adaptive synchronization of fractional-order chaotic systems via a single driving variable" [Nonlinear Dyn (2011)]. Nonlinear Dynam 2011. doi:10.1007/s11071-011-0216-y. doi:10.1007/s11071-011-0216-y.
-
(2011)
-
-
Aghababa, M.P.1
-
50
-
-
67649626081
-
Mittag-Leffler stability of fractional order nonlinear dynamic systems
-
Li Y., Chen Y.Q., Podlubny I. Mittag-Leffler stability of fractional order nonlinear dynamic systems. Automatica 2009, 45:1965-1969.
-
(2009)
Automatica
, vol.45
, pp. 1965-1969
-
-
Li, Y.1
Chen, Y.Q.2
Podlubny, I.3
-
51
-
-
0001618393
-
An algorithm for the numerical solution of differential equations of fractional order
-
Diethelm K. An algorithm for the numerical solution of differential equations of fractional order. Electron Trans Numer Anal 1997, 5:1-6.
-
(1997)
Electron Trans Numer Anal
, vol.5
, pp. 1-6
-
-
Diethelm, K.1
-
52
-
-
0036650479
-
A predictor_corrector approach for the numerical solution of fractional differential equations
-
Diethelm K., Ford N.J., Freed A.D. A predictor_corrector approach for the numerical solution of fractional differential equations. Nonlinear Dynam 2002, 29:3-22.
-
(2002)
Nonlinear Dynam
, vol.29
, pp. 3-22
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
53
-
-
4043121080
-
Detailed error analysis for a fractional Adams method
-
Diethelm K., Ford N.J., Freed A.D. Detailed error analysis for a fractional Adams method. Numer Algorithms 2004, 36:31-52.
-
(2004)
Numer Algorithms
, vol.36
, pp. 31-52
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
54
-
-
0037081673
-
Analysis of fractional differential equations
-
Diethelm K., Ford N.J. Analysis of fractional differential equations. J Math Anal Appl 2002, 265:229-248.
-
(2002)
J Math Anal Appl
, vol.265
, pp. 229-248
-
-
Diethelm, K.1
Ford, N.J.2
-
56
-
-
58349084300
-
Lyapunov function design for finite-time convergence analysis: twisting controller for second-order sliding mode realization
-
Polyakov A., Poznyak A. Lyapunov function design for finite-time convergence analysis: twisting controller for second-order sliding mode realization. Automatica 2009, 45:444-448.
-
(2009)
Automatica
, vol.45
, pp. 444-448
-
-
Polyakov, A.1
Poznyak, A.2
-
57
-
-
34250886111
-
Advances in variable structure and sliding mode control
-
Springer, Berlin, Heidelberg, New York, C. Edwards, E.F. Colet, L. Fridman (Eds.)
-
Orlov Y. Advances in variable structure and sliding mode control. Extended invariance principle and other analysis tools for variable structure systems 2006, 3-22. Springer, Berlin, Heidelberg, New York. C. Edwards, E.F. Colet, L. Fridman (Eds.).
-
(2006)
Extended invariance principle and other analysis tools for variable structure systems
, pp. 3-22
-
-
Orlov, Y.1
-
58
-
-
0037461477
-
Chaos and chaos synchronization of a symmetric gyro with linear-plus-cubic damping
-
Chen H.K. Chaos and chaos synchronization of a symmetric gyro with linear-plus-cubic damping. J Sound Vib 2002, 255:719-740.
-
(2002)
J Sound Vib
, vol.255
, pp. 719-740
-
-
Chen, H.K.1
|