.Modelica_LinearSystems2.Math.Matrices.Internal.reorderRSFd

Information

Syntax

(To, Qo, wr, wi) = Matrices.Internal.reorderRSFd(T, Q, alphaReal, alphaImag, alpha)

Description

Reorder real Schur form according to alpha, as used e.g. in assignPolesMI for discrete systems.

See also

reorderRSF or reorderRSFc (for continuous systems).

Interface

function reorderRSFd
  extends Modelica.Icons.Function;
  input Real T[:, :] "Upper quasi-triangular matrix in Schur canonical form";
  input Real Q[:, size(T, 2)] "Matrix of Schur vectors";
  input Real alphaReal[size(T, 1)] "Real part of eigenvalue = alphaReal + i*alphaImag";
  input Real alphaImag[size(T, 1)] "Imaginary part of eigenvalue = alphaReal + i*alphaImag";
  input Real alpha "Maximum admissible value for moduli of the eigenvalues of A which will not be modified by the eigenvalue assignment algorithm";
  output Real To[size(T, 1), size(T, 2)] "Reordered Schur form";
  output Real Qo[size(T, 1), size(T, 2)] "Reordered Schur vectors";
  output Real wr[size(T, 2)] "Reordered eigenvalues, real part";
  output Real wi[size(T, 2)] "Reordered eigenvalues, imaginary part";
end reorderRSFd;