PS1_Q2 - 6 85.1096 74.4736 74.4520 85.0880 7 85.1053...

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Time x(t) y(t) 0 5 0 1 2.5 0 2 3.75 2.5 3 5.63 2.75 4 4.94 1.03 5 3.56 0.68 6 3.9 1.85 7 4.9 2.21 8 4.76 1.43 9 4.05 1.1 10 4.07 1.61 11 4.58 1.89 12 4.61 1.56 13 4.26 1.33 14 4.2 1.54 15 4.44 1.72 2 2.5 3 3.5 0 0.5 1 1.5 2 2.5 3 Tr Y
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4 4.5 5 5.5 6 rajectory of (x(t),y(t)) Column C X
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Q1.1) By substituting x(k+1)=q2(k) and y(k+1)=q1(k), we have the following linear dynamic system: A= 1 -0.2 0.2 0 -0.3 1 0 0.3 0 1 0 0 1 0 0 0 k q1 q2 x y 0 20.0000 50.0000 0.0000 0.0000 1 10.0000 44.0000 50.0000 20.0000 2 11.2000 47.0000 44.0000 10.0000 3 10.6000 46.6400 47.0000 11.2000 4 10.6720 46.8200 46.6400 10.6000 5 10.6360 46.7984 46.8200 10.6720 6 10.6403 46.8092 46.7984 10.6360 7 10.6382 46.8079 46.8092 10.6403 8 10.6384 46.8086 46.8079 10.6382 9 10.6383 46.8085 46.8086 10.6384 10 10.6383 46.8085 46.8085 10.6383 11 10.6383 46.8085 46.8085 10.6383 12 10.6383 46.8085 46.8085 10.6383 74 77 80 83 86 89 92 95 98 101 104 Trajectory of (q1(k), q2(k)) when q1(0)=q2(0)=100 q2
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k q1 q2 x y 0 100.0000 100.0000 0.0000 0.0000 1 80.0000 70.0000 100.0000 100.0000 2 86.0000 76.0000 70.0000 80.0000 3 84.8000 74.2000 76.0000 86.0000 4 85.1600 74.5600 74.2000 84.8000 5 85.0880 74.4520 74.5600 85.1600
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Unformatted text preview: 6 85.1096 74.4736 74.4520 85.0880 7 85.1053 74.4671 74.4736 85.1096 8 85.1066 74.4684 74.4671 85.1053 9 85.1063 74.4680 74.4684 85.1066 10 85.1064 74.4681 74.4680 85.1063 11 85.1064 74.4681 74.4681 85.1064 12 85.1064 74.4681 74.4681 85.1064 k q1 q2 x y 20.0000 50.0000 0.0000 0.0000 1 10.0000 44.0000 50.0000 20.0000 2 11.2000 47.0000 44.0000 10.0000 3 10.6000 46.6400 47.0000 11.2000 4 10.6720 46.8200 46.6400 10.6000 5 10.6360 46.7984 46.8200 10.6720 6 10.6403 46.8092 46.7984 10.6360 7 10.6382 46.8079 46.8092 10.6403 8 10.6384 46.8086 46.8079 10.6382 9 10.6383 46.8085 46.8086 10.6384 10 10.6383 46.8085 46.8085 10.6383 11 10.6383 46.8085 46.8085 10.6383 12 10.6383 46.8085 46.8085 10.6383 70 73 76 79 82 85 88 91 94 65 68 71 74 q1 97 100 103...
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This note was uploaded on 06/16/2010 for the course MS&E 201 taught by Professor Edisontse during the Spring '08 term at Stanford.

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PS1_Q2 - 6 85.1096 74.4736 74.4520 85.0880 7 85.1053...

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