yields the internally balanced decomposition of the state-space model ssm.

Details and Options

  • For a standard StateSpaceModel the result is a list {p,bssm}, where p is the similarity transformation matrix and bssm is the internally balanced form of ssm.
  • For a descriptor StateSpaceModel the result is a list {{p, q},bssm}, where p and q are a pair of transformation matrices.
  • InternallyBalancedDecomposition accepts a Method option with the following settings:
  • Automaticautomatically choose method
    "Eigensystem"use eigenvalue decomposition
    "SingularValues"use singular value decomposition
  • The methods "Eigensystem" and "SingularValues" call Eigensystem and SingularValueDecomposition, respectively. In each case, the additional options relevant to the corresponding function can be specified as Method->{"name",opt1-> val1,opt2-> val2,}.


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Basic Examples  (1)

The internally balanced realization of a state-space model:

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Scope  (3)

Applications  (1)

Properties & Relations  (2)

Possible Issues  (2)

See Also

ControllabilityGramian  ObservabilityGramian  StateSpaceTransform

Introduced in 2010
| Updated in 2012