DescriptorStateSpace

DescriptorStateSpace
is an option to StateSpaceModel that specifies whether to use descriptor or standard representation.

DetailsDetails

  • In StateSpaceModel[{a, b, c, d, e}], the matrix e is the descriptor matrix.
  • The equations governing continuous-time standard and descriptor state-space models are:
  • standard state space
    descriptor state space
  • Discrete-time systems have analogous forms
  • The option can take the following values:
  • Automaticuse descriptor only if is singular
    Falseuse standard state-space representation
    Trueuse descriptor state-space representation

ExamplesExamplesopen allclose all

Basic Examples (4)Basic Examples (4)

Invert the descriptor matrix to create a standard state-space model:

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Add an identity matrix to create a descriptor realization:

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Obtain the descriptor StateSpaceModel:

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By default, the standard form is obtained:

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For singular systems, the descriptor form is obtained by default:

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Because the descriptor matrix is singular, it is not possible to obtain the standard form:

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