.Modelica_LinearSystems2.StateSpace.Transformation

Information

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 obervabillity 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

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