slicot_ab07nd

Inverse of a given linear system.

Syntax

• [A_OUT, B_OUT, C_OUT, D_OUT, RCOND, INFO] = slicot_ab07nd(A_IN, B_IN, C_IN, D_IN)

Input argument

• A_IN - The leading N-by-N part of this array must contain the state matrix A of the original system.
• B_IN - The leading N-by-M part of this array must contain the input matrix B of the original system.
• C_IN - The leading M-by-N part of this array must contain the output matrix C of the original system.
• D_IN - The leading M-by-M part of this array must contain the feedthrough matrix D of the original system.

Output argument

• A_OUT - The leading N-by-N part of this array contains the state matrix Ai of the inverse system.
• B_OUT - The leading N-by-M part of this array contains the input matrix Bi of the inverse system.
• C_OUT - The leading M-by-N part of this array contains the output matrix Ci of the inverse system.
• D_OUT - The leading M-by-M part of this array contains the feedthrough matrix Di of the inverse system.
• RCOND - The estimated reciprocal condition number of the feedthrough matrix D of the original system.
• INFO - = 0: successful exit;

Description

To compute the inverse (Ai, Bi, Ci, Di) of a given system (A, B, C, D).

Used function(s)

AB07ND

Bibliography

http://slicot.org/objects/software/shared/doc/AB07ND.html

Example

A_IN = [1.0   2.0   0.0;
   4.0  -1.0   0.0;
   0.0   0.0   1.0];

B_IN = [1.0   0.0;
   0.0   1.0;
   1.0   0.0];

C_IN = [0.0   1.0  -1.0;
   0.0   0.0   1.0];

D_IN = [4.0   0.0;
   0.0   1.0];

[A_OUT, B_OUT, C_OUT, D_OUT, RCOND, INFO] = slicot_ab07nd(A_IN, B_IN, C_IN, D_IN)

History

Author

SLICOT Documentation