Wolfram Language & System 10.4 (2016)|Legacy Documentation

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

Details and OptionsDetails and Options

  • For a standard StateSpaceModel the result is a list , 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 , 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 and 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,}.
Introduced in 2010
| Updated in 2012