.Modelica_LinearSystems2.StateSpace.Transformation

Information

Package of functions for state space similarity transformations

Contents

NameDescription
 toSimilarFormPerform 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)
 toObservabilityFormPerform the similarity transformation to the obervability canonical form
 toControllabilityFormPerform the similarity transformation to the controllability canonical form
 toDiagonalFormPerform the similarity transformation with the (real) inverse right eigenvector matrix of the system, that lead to the Jordan canonical form for single eigenvalues
 toBalancedFormPerform the similarity transformation to a balanced form (to make further numerical computations on the StateSpace system more reliable)
 toIrreducibleFormCalculate a minimal controllable and observable block Hessenberg realization of a given SISO state-space representation
 toStaircaseFormTransforms a state space system to upper staircase form
 extractExtract input/output related subsystems from state space system record

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