ZigangPan/SmoothTransitionFunctions

ZigangPan`SmoothTransitionFunctions`

flexibledeadzonefunction

flexibledeadzonefunction[x,RoundednessPositive,DeadZoneBoundPositive,SlopePositive,RoundednessNegative,DeadZoneBoundNegative,SlopeNegative]

is smooth on (0,∞)(0,∞)(0,∞)(0,∞)(-∞,0)(0,∞). x is the input and the rest of the variables are parameters. RoundednessPositive > 0 and RoundednessNegative > 0 determine how sharp is the turn on effect (The larger value the slower the turn on. It is best if RoundednessPositive≤DeadZoneBoundPositive and RoundednessNegative ≤-DeadZoneBoundNegative). DeadZoneBoundPositive > 0 and DeadZoneBoundNegative < 0 determine the x-axis location of the two turns; and SlopePositive>0 and SlopeNegative>0 are the slope of the function in the positive x-axis and the negative axis beyond the deadzone, respectively.

Examples

(1)

Basic Examples

(1)

In[1]:=

Plot

flexibledeadzonefunction

[x,1,1.5,2,1,-1.5,1],{x,-5,5}

Out[1]=

SeeAlso

smoothdeadzonefunction

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