Perhaps you could call it "integral controller" (like the I in "PID controller")? Because systems that have a memory behave like ones, and we are definitely in a feedback loop with those systems.

And, from what I remember from my control theory classes, the integral part of a controller introduces lag, inertia, generally making the output more resistant to input changes.

(Also note that the "non-conservative" Proportional and Derivative components in a PID by definition don't learn - they react to input and its change.)