Gamma#
- class Gamma[source]#
Gamma response function with 3 parameters A, a, and n.
- Parameters
up (bool or None, optional) – indicates whether a positive stress will cause the head to go up (True, default) or down (False), if None the head can go both ways.
meanstress (float) – mean value of the stress, used to set the initial value such that the final step times the mean stress equals 1
cutoff (float) – proportion after which the step function is cut off. default is 0.999.
Notes
The impulse response function is:
\[\theta(t) = At^{n-1} e^{-t/a} / (a^n Gamma(n))\]where A, a, and n are parameters. The Gamma function is equal to the Exponential function when n=1.
Methods#
Method to return the block function. |
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Get initial parameters and bounds. |
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Internal method to determine the times at which to evaluate the step-response, from t=0. |
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Method to get the response time for a certain cutoff. |
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Method to return the impulse response function. |
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Method to return the step function. |