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Beam Model Reduced System (sub−system1)
100
Exact1
ISVDDRK
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−syste
m2)
100
Exact2
ISVDDRK
0
−100
−200
10
−3
10
−2
10
−1
10
0
10
1
10
2
10
3
10
4
Frequency (Hz)
Fig. 20 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
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
10
−3
10
−2
10
−1
10
0
10
1
10
2
10
3
10
4
Frequency (Hz)
Fig. 21 Absolute error system between original switched system (beam of order 348) and the
reduced one of order (24) with DRK-SLS method
6 Comparative Study
In this section, the Iterative Dual Rational Krylov method is compared with Iter-
ative SVD-Dual Rational Krylov method for switched linear system. At
rst, the
largest singular value of the frequency response of the original system and of the
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