[A_OUT, B_OUT, C_OUT, D_OUT, INFO] = slicot_ab04md(TYPE, ALPHA, BETA, A_IN, B_IN, C_IN, D_IN)
| Parameter | Description |
|---|---|
| TYPE | a character: 'D' discrete or 'C' continuous time |
| ALPHA, BETA | Parameters specifying the bilinear transformation. Recommended values for stable systems: ALPHA = 1, BETA = 1. ALPHA ~= 0, BETA ~= 0 |
| A_IN | N-by-N part of this array must contain the state matrix A of the original system. |
| B_IN | N-by-M part of this array must contain the input matrix B of the original system. |
| C_IN | P-by-N part of this array must contain the output matrix C of the original system. |
| D_IN | P-by-M part of this array must contain the input/output matrix D for the original system. |
| Parameter | Description |
|---|---|
| A_OUT | N-by-N part of this array contains the state matrix _A of the transformed system. |
| B_OUT | N-by-M part of this array contains the input matrix _B of the transformed system. |
| C_OUT | the leading P-by-N part of this array contains the output matrix _C of the transformed system. |
| D_OUT | P-by-M part of this array contains the input/output matrix _D of the transformed system. |
| INFO | Error Indicator: = 0: successful exit; less than 0: if INFO = -i, the i-th argument had an illegal value; = 1: if the matrix (ALPHA*I + A) is exactly singular; = 2: if the matrix (BETA*I - A) is exactly singular. |
To perform a transformation on the parameters (A, B, C, D) of a system, which is equivalent to a bilinear transformation of the corresponding transfer function matrix.
N = 2;
M = 2;
P = 2;
TYPE= 'C';
ALPHA = 1;
BETA = 1;
A = [ 1.0 0.5; 0.5 1.0];
B = [ 0.0 -1.0; 1.0 0.0];
C = [ -1.0 0.0; 0.0 1.0];
D = [ 1.0 0.0; 0.0 -1.0];
[A_OUT, B_OUT, C_OUT, D_OUT, INFO] = slicot_ab04md(TYPE, ALPHA, BETA, A, B, C, D)| Version | Description |
|---|---|
| 1.0.0 | initial version |