Your happiness shouldn't change if ice cream input has a zero. Also it should be independent from the amount of ice cream. In other words if we have an ODE say
ddot y + 2 dot y + y = dot u - 2 u
As long as my input is pure C exp(2t) independent of C I see no happiness and it's not working on my mood. In your example input u effect is cancelled by decay of y cancelling the guilt. Making it not a zero.
In my personal case eating celery is a zero i see absolute no point eating it :) no harm and no benefit just pointless chewing
ddot y + 2 dot y + y = dot u - 2 u
As long as my input is pure C exp(2t) independent of C I see no happiness and it's not working on my mood. In your example input u effect is cancelled by decay of y cancelling the guilt. Making it not a zero.
In my personal case eating celery is a zero i see absolute no point eating it :) no harm and no benefit just pointless chewing