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Identification of Differential Equations Systems With Various Input Effects

Table 2: Testing results of the method with various input effects

Number of the system Input effects Error
Noise 0% Noise 5% Noise 10%
1 u ( t ) = s i n ( t ) 0.053 0.058 0.060
u t = l n ⁡ ( t 2 + 1 + 5 ) 0.066 0.072 0.077
u t = e sin ⁡ t + cos ⁡ 0.5 t 0.099 0.104 0.107
2 u ( t ) = s i n ( t ) 0.043 0.042 0.044
u t = l n ⁡ ( t 2 + 1 + 5 ) 0.001 0.001 0.001
u t = e sin ⁡ t + cos ⁡ 0.5 t 0.001 0.001 0.002
3 u ( t ) = s i n ( t ) 0.001 0.001 0.001
u t = l n ⁡ ( t 2 + 1 + 5 ) 0.012 0.013 0.012
u t = e sin ⁡ t + cos ⁡ 0.5 t 0.001 0.002 0.002
4 u ( t ) = s i n ( t ) 0.026 0.022 0.024
u t = l n ⁡ ( t 2 + 1 + 5 ) 0.002 0.002 0.003
u t = e sin ⁡ t + cos ⁡ 0.5 t 0.025 0.027 0.031
5 u ( t ) = s i n ( t ) 0.001 0.001 0.001
u t = l n ⁡ ( t 2 + 1 + 5 ) 0.001 0.001 0.002
u t = e sin ⁡ t + cos ⁡ 0.5 t 0.001 0.001 0.001
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