Sabatier Agrawal Machado Advances in Fractional Calculus Episode 1 pot

... (–x) 1. 200 1 1.920 61 1.992 1, 059 1. 300 1 1.930 73 1. 993 1, 237 1. 400 1 1.940 91 1.994 1, 479 1. 500 3 1. 950 11 5 1. 995 1, 825 1. 600 5 1. 960 15 3 1. 996 2,357 1. 700 9 1. 970 219 1. 997 3,273 1. 800 17 ... 815 1. 100 1 1. 910 53 1. 9 91 923 Significant 3 1. 42  < 2 4 1. 573  < 2 5 1. 7 815  < 2 6 1. 86 618  < 2 7 1....

Ngày tải lên: 12/08/2014, 16:21

... order-distributions [1] in Physics and Engineering, 347–360. 347 NONLINEAR FRACTIONAL DERIVATIVE VISCOELASITCITY 375 13 Fig. 12 . The response F g (t) defined by Eq. (28) in the ramp stage. Fig. 13 . The damping ... y 0 [m](α v × 10 6 = −3.0,y 0 × 10 3 =1. 5andα v 10 3 0 f[Hz] (f =0 .1, 0.3, 1, 3, 5, 10 ) are employed as the experimantal condition. In Type 1 experiment,...

Ngày tải lên: 12/08/2014, 16:21

... / rad ⋅ s 1 gain / dB 10 −2 10 1 10 0 10 1 10 2 10 00 −500 0 phase / º 10 −2 10 1 10 0 10 1 10 2 −40 −20 0 ω / rad ⋅ s 1 gain / dB 10 −2 10 1 10 0 10 1 10 2 −80 −60 −40 −20 0 gain / dB (a) ... I – – – 14 476 0 10 20 30 40 50 0 0.5 1 1.5 time / s output K 10 −2 10 1 10 0 10 1 10 2 −50 0 50 gain / dB 10 −2 10 1 10 0 10 1 10 2 −300 −200 10 0...

Ngày tải lên: 12/08/2014, 16:21

... 1. 02 0 .16 0 .1 1.67 1. 25 1. 77 25.23 0.25 1. 86 1. 34 2.00 0.25 0.05 5 .14 3.92 4.88 23.39 0.53 5.48 3.97 5.47 0.63 0.025 17 .72 13 .52 14 .77 23.50 1. 05 18 .16 13 .70 15 .53 1. 13 0. 012 5 65. 81 49. 61 51. 06 ... S5 0.8 5.01e 5 2.76e 5 3.29e 5 1. 06e 3 3.53e 4 2.63e 5 3.57e 5 1. 26e 6 1. 61e 1 1.6 2.46e 5 1. 36e 5 1. 62e 5 5.34e 4 1. 77e 4 1. 60e 5 2.84e 5 2.53...

Ngày tải lên: 12/08/2014, 16:21

... bc i lim ze ih (1- z -1 ) ( +1) /2 (1- z) ( -1) /2 = (1- e -ih ) ( +1) /2 (1- e ih ) ( -1) /2 = (1- e -ih ) ( +1) /2 (1- e ih ) ( +1) /2 (1- e ih ) -1 We write, then:   c 2 e -it = e it (1- e -ih ) ( +1) /2 ... f(z+w) 1 w N +1 dw ( 21) if N is a positive even integer and lim h0 ( -1) (N +1) /2 h N  k = -(N -1) /2 (N +1) /2 ( -1) k (N +1) ((N +1)...

Ngày tải lên: 12/08/2014, 16:21

... Dynam. Sys., 17 :14 77 14 99. 14 . Gutkin E (19 86) Billiards in polygons. Physica D, 19 : 311 –333. 15 . Gutkin, E (19 96) Billiards in polygons: Survey of recent results. J. Stat. Phys. 83:7–26. 16 . Richens ... (2003) On the initial conditions in continuous-time fractional linear systems. Signal Processing, 83 (11 ):23 01 2309. 14 . Agrawal OP (2004) Application of fract...

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... conditions: min M x zzz  . (12 ) Here 1 1 1 11 min 2 PK N KP KP P ab ab z b           , 2 0 10 01 N Mx b z ab ab     . (13 ) The limiting parameters entering into the last ... GM (19 97) Chaos, 7:753. 30. Zubarev DN, Morozov VG (19 83) Physica A., 12 0 :11 . 31. Nigmatullin RR (19 84) Phys. Stat. Sol. (b) 12 3:739. 32. Nigmatullin RR, Tayurski DA (19 9...

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... 39 911 10 −4 10 −2 10 0 10 2 10 4 28 29 30 31 32 Frequency Phase angle (b) (iω) 1/ 3 15 Non−uniform size elements 10 −4 10 −2 10 0 10 2 10 4 10 −5 10 0 10 5 Frequency Magnitude (c) (iω) 1/ 2 15 Non−uniform size elements 10 −4 10 −2 10 0 10 2 10 4 43 44 45 46 47 Frequency Phase ... elements 10 −4 10 −2 10 0 10 2 10 4 10 −5 10 0 10 5 Fre...

Ngày tải lên: 12/08/2014, 16:21

... state.                                                    16 , 416 , 416 , 316 , 316 , 216 , 216 ,11 6 ,1 15, 415 , 415 , 315 , 315 , 215 , 215 ,11 5 ,1 14, 414 , 414 , 314 , 314 , 214 , 214 ,11 4 ,1 13, 413 , 413 , 313 , 313 , 213 , 213 ,11 3 ,1 12, 412 , 412 , 312 , 312 , 212 , 212 ,11 2 ,1 11, 411 , 411 , 311 , 311 , 211 , 211 ,11 1...

Ngày tải lên: 12/08/2014, 16:21

... 90 10 0 -0.5 0 0.5 1 1.5 Fig. 11 . Response y(t) of the plant with the CRONE controller for possible S (dB) GS (dB) T (dB) CS (dB) 10 -2 10 -1 10 0 10 1 -15 0 -10 0 -50 0 50 10 -2 10 -1 10 0 10 1 -30 -20 -10 0 10 10 -2 10 -1 10 0 10 1 -10 0 10 20 30 40 Frequency ... (dB) 10 -2 10 -1 10 0 10 1 -15 0 -10 0 -50 0 50 10 -2 10 -1 10 0 10 1...

Ngày tải lên: 12/08/2014, 16:21