In motion control of mobile robots what are the major differences between Path following and trajectory tracking and stabilization about a posture , and why we use each one of them and in which cases ?!
Path following is all about following a predefined path which does not involve time as a constraint. Thus, if you are on the path and following it with whatever speed you have reached your goal. On the contrary, trajectory tracking involves time as a constraint. Meaning that you have to be at a certain point at a certain time.
I am not so familiar about the "stabilization about a posture" but I can guess from the title that it does not involve time nor position constraints, but you have to maintain your posture. For a rigid body, this would mean to stabilize the system to go to a certain attitude/orientation. Maybe others can elaborate on this.