mdof.eigid#

mdof.eigid(inputs, outputs, **options)#

State space system eigenvalues vals and eigenvectors vecs identification from input and output arrays. This is the eigendecomposition of the discrete system state transition matrix, \(\mathbf{A}\).

Parameters:
  • inputs (array) – input time history. dimensions: \((q,nt)\), where \(q\) = number of inputs, and \(nt\) = number of timesteps

  • outputs (array) – output response history. dimensions: \((p,nt)\), where \(p\) = number of outputs, and \(nt\) = number of timesteps

  • decimation (int, optional) – decimation factor. default: 1

Returns:

(vals, vecs)

Return type:

tuple of 1D array, ND array