.Modelica_LinearSystems2.StateSpace.Transformation

Package of functions for state space similarity transformations

Contents

Name Description
 toSimilarForm Perform the similarity transformation z = Tx (or x = inv(T)z) which leads to Az=T*A*inv(T), Bz=T*B, Cz=C*inv(T), Dz=D (or Az=inv(T)*A*T, Bz=inv(T)B, Cz=C*T, Dz=D)
 toObservabilityForm Perform the similarity transformation to the obervability canonical form
 toControllabilityForm Perform the similarity transformation to the controllability canonical form
 toDiagonalForm Perform the similarity transformation with the (real) inverse right eigenvector matrix of the system, that lead to the Jordan canonical form for single eigenvalues
 toBalancedForm Perform the similarity transformation to a balanced form (to make further numerical computations on the StateSpace system more reliable)
 toIrreducibleForm Calculate a minimal controllable and observable block Hessenberg realization of a given SISO state-space representation
 toStaircaseForm Transforms a state space system to upper staircase form
 extract Extract input/output related subsystems from state space system record

Generated at 2026-04-06T18:18:36Z by OpenModelicaOpenModelica 1.26.3 using GenerateDoc.mos