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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
InternallyBalancedDecomposition
InternallyBalancedDecomposition[ssm]
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:
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Automatic automatically 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, ...}.
ExamplesExamplesopen allclose all
Basic Examples (1)Basic Examples (1)
The internally balanced realization of a state-space model:
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