Which oscillations are typically addressed by a Proportional Integral Derivative Or PID loop. Perhaps PID challenged?
Ha! Or just D challenged, as that's the part that provides the damping in an (approximately) linear servo. Building thermostats (except for Bob's) are usually bang-bang controllers, so that's a little bit different story, of course. My old (electromechanical) house thermostat includes a little heating element next to the temp sensor that serves as an "anticipator", presumably to reduce overshoot.
I have this superstition that car "climate controls", since they suck at actually controlling the perceived temperature, are programmed to sense your intent. If I bump the, otherwise meaningless, temperature control up or down by 1 deg F the fan speed immediately changes in response. Whatever it takes to make the customer feel it's doing something.
--Frank