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Beam Model Reduced System (sub−system1)
100
Exact1
DualRK
0
−100
−200
10
−3
10
−2
10
−1
10
0
10
1
10
2
10
3
10
4
Frequency (Hz)
Beam Model Reduced System (sub−system2)
100
Exact2
DualRK2
0
−100
−200
10
−3
10
−2
10
−1
10
0
10
1
10
2
10
3
10
4
Frequency (Hz)
Fig. 8 Largest singular value of the frequency response of the original switched system (beam of
order 348) and reduced one of order (24) to a frequency range with DRK-SLS method
Singular Values of the Error System
100
0
−100
−200
−300
10
−3
10
−2
10
−1
10
0
10
1
10
2
10
3
10
4
Frequency (Hz)
Singular Values of the Error System
100
0
−100
−200
−300
10
−4
10
−2
10
0
10
2
10
4
Frequency (Hz)
Fig. 9 Absolute error system between original switched system [Beam of order (348)] and the
reduced one of order (24) with DRK-SLS method
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