The five wires coming off the circuit board are the same as those coming off the ESC attached to the brushed dc motor and the servo motor circuit board "2 for power in and 3 go to the arduino". The pulses mean the same as the brushless dc motor. The only difference is that at maximum RPM, there are still pulses. There is not one long pulse like the brushed dc motor. The only physical difference is that there are three wires into the motor you may not be able to see them when it is mounted on a circuit board.
A common type of servo provides position control. Commonly, servos are electrical, hydraulic or pneumatic. They operate on the principle of negative feedback, where the control input is compared to the actual position of the mechanical system as measured by some sort of transducer at the output. Any difference between the actual and wanted values (an "error signal") is amplified (and converted) and used to drive the system in the direction necessary to reduce or eliminate the error. This procedure is one widely used application of control theory. Typical servos can give a rotary (angular) or linear output.
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