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BUILT-IN MATHEMATICA SYMBOL

MinimalStateSpaceModel

MinimalStateSpaceModel[ss]
gives the minimal state-space model of the StateSpaceModel object ss.

The minimal state-space model is both controllable and observable, and has the minimal number of states.

Compute a minimal realization:

Out[1]=

Obtain a model with the minimal number of states:

A minimal realization of a symbolic model:

A minimal realization does not contain uncontrollable modes:

A minimal realization does not contain unobservable modes:

Remove any uncontrollable or unobservable modes:

MinimalStateSpaceModel computes the subspace that is both controllable and observable:

A minimal realization is both controllable and observable:

Minimal realizations are not unique:

Both are minimal realizations of the same transfer function:

MinimalStateSpaceModel is essentially equivalent to TransferFunctionCancel for single-input, single-output systems: