BUILT-IN MATHEMATICA SYMBOL

# StateSpaceTransform

StateSpaceTransform[sys, {p, q}]
transforms the state-space model sys using the matrices p and q.

## DetailsDetails

• StateSpaceTransform returns a transformed model where the state variables have been transformed. The transformation can be a similarity, equivalence, or restricted equivalence transformation.
• The system sys can be a standard or descriptor StateSpaceModel.
• For a standard StateSpaceModel[{a, b, c, d}], the original and transformed systems are related by the transformation and the corresponding equations are given by:
• Typically p and q are inverses, in which case the transformation is a similarity transformation. The following defaults for p and q are used for standard StateSpaceModel transformations:
•  p or {p,Automatic} {p, Inverse[p]} {Automatic,q} {Inverse[q], q}
• For a descriptor StateSpaceModel[{a, b, c, d, e}], the original and transformed systems related by the transformation and the corresponding equations are given by:
• Typically p and q are invertible matrices but not inverses, in which case the transformation is an equivalence transformation. The following defaults are used for descriptor StateSpaceModel transformations:
•  p or {p,Automatic} {p, IdentityMatrix[n]} {Automatic,q} {IdentityMatrix[n], q}

## ExamplesExamplesopen allclose all

### Basic Examples (1)Basic Examples (1)

A similarity transformation :

 Out[2]=

Use the matrix pair:

 Out[3]=