SystemsModelOrder

SystemsModelOrder[sys]

gives the order of the state-space model sys.

Details

  • The system sys can be a standard or descriptor StateSpaceModel, an AffineStateSpaceModel, or a NonlinearStateSpaceModel, all with no delays.
  • The order of a standard continuous-time systems model is the number of integrators in the model and for standard discrete-time systems, the number of integer delays in the model.
  • For a descriptor StateSpaceModel, the order is taken to be the dimension of the slow subsystem.

Examples

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Basic Examples  (2)

The order of a state-space model:

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The order of a descriptor state-space model:

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It can be computed as the exponent of the polynomial Det[s e-a]:

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Scope  (6)

Applications  (2)

Properties & Relations  (3)

Possible Issues  (1)

See Also

SystemsModelVectorRelativeOrders  SystemsModelDimensions  StateSpaceModel  AffineStateSpaceModel  NonlinearStateSpaceModel

Introduced in 2010
(8.0)
| Updated in 2014
(10.0)