WOLFRAM

Wolfram Language & System Documentation Center

GainMargins[lsys]

gives the gain margins of the linear time-invariant system lsys.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Generalizations & Extensions  
See Also
Related Guides
History
Cite this Page

GainMargins

GainMargins[lsys]

gives the gain margins of the linear time-invariant system lsys.

Details and Options

  • The system lsys can be a TransferFunctionModel or a StateSpaceModel.
  • The gain margins are the reciprocals of the magnitude of lsys at the phase crossover frequencies.
  • At the phase crossover frequencies lsys has phase .
  • GainMargins returns {{ωp1,g1},{ωp2,g2},…}, where ωpi are the phase crossover frequencies, and gi are the absolute values of the gain margins.
  • GainMargins has the same options as GainPhaseMargins.
  • GainMargins has the attribute Listable.

    • List of all options

Examples

open all close all

Basic Examples  (3)

The gain margins of a continuous-time system:

The gain margins in decibels:

A discrete-time system:

A time-delay system:

Generalizations & Extensions  (1)

GainMargins[TransferFunctionModel[g,var]] is equivalent to GainMargins[g]:

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

Text

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

CMS

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

APA

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

BibTeX

@misc{reference.wolfram_2025_gainmargins, author="Wolfram Research", title="{GainMargins}", year="2010", howpublished="\url{https://reference.wolfram.com/language/ref/GainMargins.html}", note=[Accessed: 15-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_gainmargins, organization={Wolfram Research}, title={GainMargins}, year={2010}, url={https://reference.wolfram.com/language/ref/GainMargins.html}, note=[Accessed: 15-August-2025]}