y =
0
0.0052
0.0201
0.0435
0.0742
0.1112
0.1535
0.2000
0.2498
0.3022
0.3562
0.4112
0.4664
0.5214
0.5755
0.6283
0.6794
0.7285
0.7752
0.8193
0.8606
0.8991
0.9346
0.9670
0.9964
1.0228
1.0461
1.0666
1.0842
1.0991
1.1115
1.1214
1.1290
1.1345
1.1381
1.1399
1.1400
1.1387
1.1361
1.1324
1.1277
1.1222
1.1160
1.1093
1.1022
1.0947
1.0871
1.0794
1.0716
1.0640
1.0564
1.0491
1.0421
1.0353
1.0289
1.0229
1.0173
1.0121
1.0073
1.0029
0.9989
0.9954
0.9923
0.9896
0.9873
0.9854
0.9838
0.9825
0.9816
0.9809
0.9805
0.9804
0.9804
0.9807
0.9811
0.9817
0.9824
0.9832
0.9841
0.9851
0.9861
0.9872
0.9882
0.9893
0.9904
0.9915
0.9925
0.9935
0.9945
0.9954
0.9963
0.9971
0.9979
0.9986
0.9992
0.9998
1.0004
1.0008
1.0012
1.0016
1.0019
1.0021
1.0024
1.0025
1.0026
1.0027
1.0027
1.0028
1.0027
t =
0
0.0368
0.0736
0.1104
0.1472
0.1840
0.2209
0.2577
0.2945
0.3313
0.3681
0.4049
0.4417
0.4785
0.5153
0.5521
0.5890
0.6258
0.6626
0.6994
0.7362
0.7730
0.8098
0.8466
0.8834
0.9202
0.9571
0.9939
1.0307
1.0675
1.1043
1.1411
1.1779
1.2147
1.2515
1.2883
1.3252
1.3620
1.3988
1.4356
1.4724
1.5092
1.5460
1.5828
1.6196
1.6564
1.6932
1.7301
1.7669
1.8037
1.8405
1.8773
1.9141
1.9509
1.9877
2.0245
2.0613
2.0982
2.1350
2.1718
2.2086
2.2454
2.2822
2.3190
2.3558
2.3926
2.4294
2.4663
2.5031
2.5399
2.5767
2.6135
2.6503
2.6871
2.7239
2.7607
2.7975
2.8343
2.8712
2.9080
2.9448
2.9816
3.0184
3.0552
3.0920
3.1288
3.1656
3.2024
3.2393
3.2761
3.3129
3.3497
3.3865
3.4233
3.4601
3.4969
3.5337
3.5705
3.6074
3.6442
3.6810
3.7178
3.7546
3.7914
3.8282
3.8650
3.9018
3.9386
3.9755
ans =
max(y) max(t)
1.1400 3.9755
ans =
d) halle la respuesta analítica del sistema para un ingreso escalón unitario.
g =
8/(s^2+3*s+8)
r =
1/s
y =
8/(s^2+3*s+8)/s
8
----------------
2
(s + 3 s + 8) s
1/2 1/2 1/2
-exp(- 3/2 t) cos(1/2 23 t) - 3/23 23 exp(- 3/2 t) sin(1/2 23 t)
+ 1
ans =
e) halle las raices de la ecuacion caracteristica
ans =
-1.5000 + 2.3979i
-1.5000 - 2.3979i
ans =
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