## Sme help with Identification?!

Hello guys, i am trying to identify the following non linear parameter varying system.

Y_1(t_{i})}=\frac{Y_1(t_{i-1})+\Delta t.k_{1}.Y_2(t_{i-1})}{\left(1+\Delta.t.\left(k_{1}.Y_2(t_{i-1})+k_{2}.Y_3(t_{i-1})\right)\right)}

Y_2(t_{i})=\frac{U_1(t_{i})}{\left1+\frac{M_1}{U_4(t_{i})}(a\lefta.\fra c{1}{2}.k_{1}.Y_1(t_{i})+b.\frac{1}{2}.k_{4}.Y_3(t_{i-1})\right)\right}

Y_3(t_{i})=\frac{U_2(t_{i})}{\left1+\frac{M_2}{U_4(t_{i})}(\left a.k_{2}.Y_1(t_{i})+b.k_{4}.Y_2(t_{i})\right)\right}

Y_4(t_{i})=U_3+\frac{M_3}{M_2}\left(U_2(t_{i})-Y_3(t_{i})\right)

Does any body has an idea about the algorithm that can be used?
Regards
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It seems that i din't write with .tex well, here is a pdf containing the model.
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