I want to ask a question to respected mathematicians and specialists in control theory: Is there a separate direction in nonlinear control theory that develops control of super slow processes? Are special control algorithms known, etc.? Is there a (at least initial) mathematical background for this?
Example: ball rolling along a predetermined path at a speed of 1 cm per day, taking into account friction.
If someone is interested in this topic, I recommend looking for the keyword phrase "Slow-Fast Dynamic". I felt that a separate direction in control theory exists ...