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SystemsModelLabels—Wolfram Documentation

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SystemsModelLabels

is an option to StateSpaceModel etc. that specifies labels of variables.

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SystemsModelLabels

SystemsModelLabels

is an option to StateSpaceModel etc. that specifies labels of variables.

Details

  • The following settings can be used:
  • Noneno labels
    {lblu}labels for the input variables
    {lblu,lbly}labels for the input and output variables
    {lblu,lbly,lbls}labels for the input, output, and state variables
  • The settings for lblx, lbly, and lbls can be None or a list of labels {lbl1,lbl2,…}.

Examples

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Basic Examples  (2)

Label the input variables:

Wolfram Language code: TransferFunctionModel[{{(Subscript[k, 1]/s + Subscript[p, 1]), (Subscript[k, 2]/s + Subscript[p, 2])}, {(Subscript[k, 3]/s + Subscript[p, 3]), (Subscript[k, 4]/s + Subscript[p, 4])}}, s, SystemsModelLabels -> {{"u1", "u2"}}]

Label the inputs, outputs, and states of a state-space model:

Wolfram Language code: StateSpaceModel[{(| | | | | --- | --- | --- | | a11 | a12 | a13 | | a21 | a22 | a23 | | a31 | a32 | a33 |), (| | | -- | | b1 | | b2 | | b3 |), (Subscript[c, 1] Subscript[c, 2] Subscript[c, 3])}, SystemsModelLabels -> {{"u"}, {"y"}, {"x1", "x2", "x3"}}]

Scope  (4)

Label the variables in an AffineStateSpaceModel:

Wolfram Language code: AffineStateSpaceModel[{{Subscript[a, 1][Subscript[x, 1], Subscript[x, 2]], Subscript[a, 2][Subscript[x, 1], Subscript[x, 2]]}, {{Subscript[b, 1][Subscript[x, 1], Subscript[x, 2]]}, {Subscript[b, 2][Subscript[x, 1], Subscript[x, 2]]}}, {Subscript[c, 1][Subscript[x, 1], Subscript[x, 2]]}}, {Subscript[x, 1], Subscript[x, 2]}, SystemsModelLabels -> {{"u"}, {"y"}, {"state1", "state2"}}]

In a NonlinearStateSpaceModel:

Wolfram Language code: NonlinearStateSpaceModel[{{Subscript[f, 1][Subscript[x, 1], Subscript[x, 2]] + α u, Subscript[f, 2][Subscript[x, 1], Subscript[x, 2]] + β u}, g[Subscript[x, 1], Subscript[x, 2]]}, {Subscript[x, 1], Subscript[x, 2]}, u, SystemsModelLabels -> {{"u"}, {"y"}, {"state1", "state2"}}]

The input label is preserved when converting to another systems model:

Wolfram Language code: AffineStateSpaceModel[%]

State labels are not preserved when converting a state-space model to a frequency-domain model:

Wolfram Language code: InputForm@StateSpaceModel[{{{0, 1}, {-3, -4}}, {{0}, {1}}, {{1, 0}}, {{0}}}, SamplingPeriod -> None, SystemsModelLabels -> {{"u"}, {"y"}, {"x1", "x2"}}]
Wolfram Language code: StateSpaceModel[{{{0, 1}, {-3, -4}}, {{0}, {1}}, {{1, 0}}, {{0}}}, SamplingPeriod -> None, SystemsModelLabels -> {{u}, {y}, {x1, x2}}]
Wolfram Language code: TransferFunctionModel[StateSpaceModel[{{{0, 1}, {-3, -4}}, {{0}, {1}}, {{1, 0}}, {{0}}}, SamplingPeriod -> None, SystemsModelLabels -> {{u}, {y}, {x1, x2}}]]
Wolfram Language code: StateSpaceModel[%]

Labels can be anything:

Wolfram Language code: StateSpaceModel[{{{0, 1}, {-3, -4}}, {{0}, {1}}, {{1, 0}}, {{0}}}, SystemsModelLabels -> {[image], Rasterize["𝒴"], {[image], [image]}}]
Wolfram Research (2010), SystemsModelLabels, Wolfram Language function, https://reference.wolfram.com/language/ref/SystemsModelLabels.html.

Text

Wolfram Research (2010), SystemsModelLabels, Wolfram Language function, https://reference.wolfram.com/language/ref/SystemsModelLabels.html.

CMS

Wolfram Language. 2010. "SystemsModelLabels." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SystemsModelLabels.html.

APA

Wolfram Language. (2010). SystemsModelLabels. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SystemsModelLabels.html

BibTeX

@misc{reference.wolfram_2026_systemsmodellabels, author="Wolfram Research", title="{SystemsModelLabels}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/SystemsModelLabels.html}", note=[Accessed: 14-November-2026]}

BibLaTeX

@online{reference.wolfram_2026_systemsmodellabels, organization={Wolfram Research}, title={SystemsModelLabels}, year={2010}, url={https://reference.wolfram.com/language/ref/SystemsModelLabels.html}, note=[Accessed: 14-November-2026]}