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Get a parametric solution for z with parameter a:
Evaluating with a numerical value of a gives an approximate function solution for z:
Plot the solutions for several different values of the parameter:
Get a parametric solution for z with respect to the initial value of y:
Plot the solutions for several different values of the parameter:
Show the sensitivity of the variable z to the parameter a:
The sensitivity with respect to a increases with time:
Scope (4) Models (4)Get a parametric solution for variables in a SystemModel with respect to a parameter:
Plot the solutions for several different values of the parameter:
Get a parametric solution for a variable in an AffineStateSpaceModel with respect to a parameter:
Plot the solutions for several different values of the parameter:
Get a parametric solution for a variable in a NonlinearStateSpaceModel with respect to a parameter:
Plot the solutions for several different values of the parameter:
Get a parametric solution for a variable in a DiscreteInputOutputModel with respect to a parameter:
Plot the solutions for several different values of the parameter:
Applications (2)Optimize parameters for maximizing a throw by a trebuchet:
Retrieve a parametric function for the thrown distance, varying release time and rope length:
Maximize the throwing distance, constraining parameters to reasonable ranges:
Simulate using the optimal throwing parameters:
Show the distance until the first bounce:
Plot the trajectory of the thrown object using a stored plot:
Calibrate parameters in a model by comparing to measurement data:
Compute a parametric function for the inertia variable measured:
Set up a criteria function for model fitting:
Fit parameters to the test data:
Simulate with the fitted parameters:
Show the test data and the calibrated model together:
Properties & Relations (1) Wolfram Research (2018), SystemModelParametricSimulate, Wolfram Language function, https://reference.wolfram.com/language/ref/SystemModelParametricSimulate.html (updated 2022). TextWolfram Research (2018), SystemModelParametricSimulate, Wolfram Language function, https://reference.wolfram.com/language/ref/SystemModelParametricSimulate.html (updated 2022).
CMSWolfram Language. 2018. "SystemModelParametricSimulate." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2022. https://reference.wolfram.com/language/ref/SystemModelParametricSimulate.html.
APAWolfram Language. (2018). SystemModelParametricSimulate. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SystemModelParametricSimulate.html
BibTeX@misc{reference.wolfram_2025_systemmodelparametricsimulate, author="Wolfram Research", title="{SystemModelParametricSimulate}", year="2022", howpublished="\url{https://reference.wolfram.com/language/ref/SystemModelParametricSimulate.html}", note=[Accessed: 12-July-2025 ]}
BibLaTeX@online{reference.wolfram_2025_systemmodelparametricsimulate, organization={Wolfram Research}, title={SystemModelParametricSimulate}, year={2022}, url={https://reference.wolfram.com/language/ref/SystemModelParametricSimulate.html}, note=[Accessed: 12-July-2025 ]}
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