StateSpaceRealization

StateSpaceRealization
is an option to StateSpaceModel that specifies its canonical representation.

	"Controllable"	the controllable realization
	"ControllableCompanion"	the controllable companion realization
	"Observable"	the observable realization
	"ObservableCompanion"	the observable companion realization

StateSpaceModel[tf, StateSpaceRealization->Automatic] gives the controllable realization of the transfer-function model tf.

The different model realizations:

The controllable and controllable companion realizations are controllable, and the observable and observable companion realizations are observable:

The controllable and controllable companion realizations are identical for single-input systems:

The observable and observable companion forms are identical for single-output systems:

The different model realizations:

Out[1]//TableForm=

The controllable and controllable companion realizations are controllable, and the observable and observable companion realizations are observable:

Out[1]//TableForm=

The controllable and controllable companion realizations are identical for single-input systems:

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The observable and observable companion forms are identical for single-output systems:

Out[1]=