Identification of Differential Equations Systems With Various Input Effects

Table 1: Tasks for testing the method to identify systems of differential equations for various input effects

No	Differential equations systems	Initial sample point
1	$\{\begin{matrix} \frac{d y_{1}}{d t} = 2 y_{1} - 5 y_{2} + 3 \\ \frac{d y_{2}}{d t} = 5 y_{1} - 6 y_{2} - 1 \end{matrix}$	y1(0)=6y2(0)=5
2	$\{\begin{matrix} \frac{d y_{1}}{d t} = 2 y_{1} + y_{2} \\ \frac{d y_{2}}{d t} = 3 y_{1} + t e^{t} \end{matrix}$	y1(1)=1y2(1)=2
3	$\{\begin{matrix} \begin{matrix} \frac{d y_{1}}{d t} = 2 y_{1} - y_{2} - y_{3} \\ \frac{d y_{2}}{d t} = {3 y}_{1} - 2 y_{2} - 3 y_{3} + 2 t \end{matrix} \\ \frac{d y_{3}}{d t} = 2 y_{3} - y_{1} - y_{2} - t^{2} \end{matrix}$	y1(0)=2y2(0)=3y3(0)=2
4	$\{\begin{matrix} \frac{d^{2} y_{1}}{d t^{2}} = - t y_{2} \\ \frac{d^{2} y_{2}}{d t^{2}} = y_{2} - 2 \frac{d y_{1}}{d t} \end{matrix}$	y1(1)=4y2(1)=-4
5	$\{\begin{matrix} \frac{d^{2} y_{1}}{d t^{2}} = \frac{d y_{1}}{d t} - \frac{d y_{2}}{d t} + e^{- t} + \cos t \\ \frac{d^{2} y_{2}}{d t^{2}} = \frac{d y_{1}}{d t} - \frac{d y_{2}}{d t} - 2 e^{t} - \sin t \end{matrix}$	y1(0)=2y2(0)=0

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Identification of Differential Equations Systems With Various Input Effects

Table 1: Tasks for testing the method to identify systems of differential equations for various input effects

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