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132



PHỤ LỤC

1. Thiết lập hệ phương trình tại các điểm đặc biệt, ma trận Jacobian và ma trận

nghịch đảo của Jacobian cho bài tốn xác định thơng số ẩn

- Các thành phần của ma trận Jacobian:

F1  x 

1

x1

F1  x 

x2



F1  x 

x3



a a x 

 a x 3  4 4 1

exp



5 3









x 2  a 3 a 4 x 4 

a 3 a 4 x 4 

.exp





2

a5x 3

 a5 x3 



F1  x 

a 3 a 4 x 4

a x

 4 2 exp





 a 4



a5x 3

x4

 a 5 x 3  x5



F2  x







F1  x  a 3 a 4 x 4

x

x5

F2  x



1







x1



2

5



a1x 4 

exp

1





a

x

 5 3 



x2



F2  x  a1x4 x 2

a1 x4 

2



exp

x

ax





a x

3

5 3

 5 3 

F2  x 

a

ax

 1  1 2 



a1 x4 

exp

x4

x5 a5 x3

a 5 x 3

F3  x





F 2  x  a 1 x 4

=

x5

F3  x



x1



x5

 a 2 













1



x2



F3  x 

a x

 2 2

 a 2 

2





exp

x

a x

a x

3

5 3

 5 3 



2



exp 

1

a 5 x 3 



F3  x 



0



x

4



F3



 x 



a2

2

x 5 x 5

F4  x 

1

x1



F4  x 

a3

1exp



a 4 x 4





a a 4 x 4 



exp  3

x3

x3





a3







x2











F

 x

4



x 3



132



x

3









1 x 2 x 4



exp



2



a 3 a 4 x 4 x 

4









x3

 x5 



x3



a3 a 4 x 4 

a3x2 

a a 4 x 4 

1 3

 exp





2 

x (a + a x )

x

x

x

3 

3





3



 2 3 2 4 4 

2

x2 x 4

x3

 1

exp a3 a 4  x 4 



 

x

4



 x3

 x5 

x3





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