SShapedPositiveSymmettric Sshaped curve with positive slope around origin (0,0) 
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The SShapedPositive
lookupfunction is a point symmetric, sshaped growth function with respect to the origin (0,0) that has a positive slope. The curve has two parameters: An upperBound
(lowerBound = upperBound
) and a slope s
which is given as a positive number.
The output y is obtained by the following formula:
convertInput 
Value: false Type: Boolean Description: = true, if the input value is a rate or time variable that needs to be converted 

inputIsRate 
Value: false Type: Boolean Description: = true, if the input is given in units of time, otherwise it is assumed to be a rate 
convertOutput 
Value: false Type: Boolean Description: = true, if the output value is a rate or time variable that needs to be converted 
outputIsRate 
Value: false Type: Boolean Description: = true, if the output is given in units of time, otherwise it is assumed to be a rate 
upperBound 
Value: 1 Type: Real Description: Upper asymptote (upperBound > 0) 
s 
Value: 2 Type: Real Description: Slope controls gradient of curve (s > 1) 
y 
Type: RealOutput Description: Output signal 


u 
Type: RealInput Description: Input 

u_c 
Type: RealOutput Description: Input after conversion 

y_c 
Type: RealOutput Description: Output before conversion 
modelSettings 
Type: ModelSettings Description: Setting important global variables within a model 


rateConversionIn 
Type: RateConversion Description: Convert the input (rate) to another time base 

noConversionIn 
Type: PassThrough Description: Use input as is 

timeConversionIn 
Type: TimeConversion Description: Convert the input to another time base 

noConversionOut 
Type: PassThrough Description: Use output as is 

rateConversionOut 
Type: RateConversion Description: Convert the output (rate) to 1/s 

timeConversionOut 
Type: TimeConversion Description: Convert the output to seconds 
BusinessSimulation.Examples Showcase of lookupfunctions 
BusinessSimulation.CausalLoop Positively sloping sshaped lookup (centered at origin) 