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Can anyone provide a good technical description of what each of these systems does and how each system accomplishes its mission?
TC is pretty simple. It looks at front and rear wheel speeds via the ABS sensors. If it detects a speed difference which exceeds a programmed amount, either front to back or side to side, it signals the ECM to reduce power and signals the ABS system to brake the spinning wheel.
AH is much more complex. It takes input from the lateral G sensors, the steering angle sensor, and the wheel speed sensors. It calculates whether the car is tracking as it is being commanded. If it isn't, it tries to correct by modulating the ABS brakes on individual wheels, it may also command the ECM to reduce power.