mohammadmother
Junior Member level 3
Hello everybody
I have a problem, about stability region of the continues system that's has been discreted.
I would appreciate if you could answer my question.
I have a circuit that including several capacitance, inductance, and
resistance. I get the A (state space matrix) of the system and then
discrete this matrix by Backward Euler method.
Also The eigenvalues of the matrix(A) have been calculated.
My question is:
For stability testing of the system that is discrete by BEM, Do
eigenvalues of matrix must be
1)Inside the unit circle centered at zero?
or
2)Outside the unit circle centered at one?
If your answer is 1, please see this PDF file(Fig 7.1 b)
https://www.siam.org/books/ot98/sample/OT98Chapter7.pdf
Best Regards
Mohammad Rezaei Larijani
I have a problem, about stability region of the continues system that's has been discreted.
I would appreciate if you could answer my question.
I have a circuit that including several capacitance, inductance, and
resistance. I get the A (state space matrix) of the system and then
discrete this matrix by Backward Euler method.
Also The eigenvalues of the matrix(A) have been calculated.
My question is:
For stability testing of the system that is discrete by BEM, Do
eigenvalues of matrix must be
1)Inside the unit circle centered at zero?
or
2)Outside the unit circle centered at one?
If your answer is 1, please see this PDF file(Fig 7.1 b)
https://www.siam.org/books/ot98/sample/OT98Chapter7.pdf
Best Regards
Mohammad Rezaei Larijani