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PoleZeroMarkers

is an option for RootLocusPlot that specifies the markers to be drawn on the complex plane at the open-loop poles, closed-loop poles, and open-loop zeros.

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PoleZeroMarkers

PoleZeroMarkers

is an option for RootLocusPlot that specifies the markers to be drawn on the complex plane at the open-loop poles, closed-loop poles, and open-loop zeros.

Details

  • PoleZeroMarkers->{gop,gcp,gz} specifies that gop, gcp, and gz must be the markers for the open-loop poles, closed-loop poles, and open-loop zeros.
  • PoleZeroMarkers has the same settings as PlotMarkers.
  • PoleZeroMarkers->{…,"ParameterValues"->{k1,k2,…,kn}} shows the closed-loop values at the parameter values ki.
  • With "ParameterValues"->n, the poles at n equally spaced parameter values are shown.

Examples

Basic Examples  (5)

By default, the open-loop poles, closed-loop poles, and open-loop zeros use "×", "", and "∘":

Wolfram Language code: RootLocusPlot[TransferFunctionModel[{{{k*(4 + s)}}, (-5 + s)*(-1 + s)}, s], {k, 0, 5}, PlotRange -> All]

Specify the markers:

Wolfram Language code: RootLocusPlot[TransferFunctionModel[ {{{6.*k + 5.5*k*s + k*s^2}}, 1.75*s + 4.*s^2 + s^3}, s], {k, 0, 10}, PoleZeroMarkers -> {Style["p", Medium, Background -> Cyan], [image], [image]}]

By default the closed-loop poles at the midpoint of the parameter range are shown:

Wolfram Language code: RootLocusPlot[TransferFunctionModel[{{{k*(10 + s^2)}}, 20 - 4*s + s^4}, s], {k, 0, 50}, PoleZeroMarkers -> {"", Automatic, ""}]

Specify parameter values at which to show the closed-loop poles:

Wolfram Language code: RootLocusPlot[TransferFunctionModel[{{{k*(10 + s^2)}}, 20 - 4*s + s^4}, s], {k, 0, 50}, PoleZeroMarkers -> {"", Automatic, "", "ParameterValues" -> {2, 25, 40}}]

Show closed-loop poles at equally spaced parameter values:

Wolfram Language code: RootLocusPlot[TransferFunctionModel[{{{k*(10 + s)}}, 20 + 6*s + s^2}, s], {k, 0, 30}, PoleZeroMarkers -> {Automatic, "ParameterValues" -> 4}]
Wolfram Research (2010), PoleZeroMarkers, Wolfram Language function, https://reference.wolfram.com/language/ref/PoleZeroMarkers.html.

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2026_polezeromarkers, author="Wolfram Research", title="{PoleZeroMarkers}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/PoleZeroMarkers.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_polezeromarkers, organization={Wolfram Research}, title={PoleZeroMarkers}, year={2010}, url={https://reference.wolfram.com/language/ref/PoleZeroMarkers.html}, note=[Accessed: 12-June-2026]}