Proven by test, the Bright Principle enables fast and precise motion control without ringing. (Ringing can be added in as desired.)

The figure illustrates no ringing. The red "cause" trace is the input into a dynamic system while the black "effect" trace is the response of that dynamic system.

The figure shows a sample variety of slopes, magnitudes, and delays.

• Desired effects start and end at zero slope: the desired effects are no ringing.
  
  
• Desired effects are used to design matching causes.