functioneigenValues
Compute eingenvalues of a matrix A, using lapack routine dgeevx
Information
Computes the invariant zeros of a system in state space form:
der(x) = A*x + B*u
y = C*x + D*u
The invariant zeros of this system are defined as the variables z that make the following matrix singular:
| A B | | I 0 |
| | - z*| |
| C D | | 0 0 |
where I is the identity matrix of the same size as A and 0 are zero matrices of appropriate dimensions.
Currently, there is the restriction that the number of inputs and the number of outputs must be identical.
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real[:,size(A, 1)] | A | Real matrix |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Complex[size(A, 1)] | eigval | Finite, invariant zeros of ss; size(Zeros,1) <= size(ss.A,1) |