WOLFRAM SYSTEM MODELER
regPowAnti-symmetric power approximation with non-zero derivative in the origin |
 |
Wolfram Language
In[1]:=
SystemModel["Modelica.Fluid.Utilities.regPow"]
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Information
This information is part of the Modelica Standard Library maintained by the Modelica Association.
This function approximates abs(x)^a*sign(x), such that the derivative is positive, finite and smooth in x=0.
| Function | Approximation | Range |
|---|---|---|
| y = regPow(x) | y ~= abs(x)^a*sgn(x) | abs(x) >>delta |
| y = regPow(x) | y ~= x*delta^(a-1) | abs(x) << delta |
Syntax
y = regPow(x, a, delta)
Inputs (3)
| x |
Type: Real |
|---|---|
| a |
Type: Real |
| delta |
Default Value: 0.01 Type: Real Description: Range of significant deviation from x^a*sgn(x) |
Outputs (1)
| y |
Type: Real |
|---|
Revisions
- 15 Mar 2005
by Francesco Casella:
Created.