Stabilized is probably the most favored FAA concept. The stabilized approach technique is the sanctioned mitigation of the common land too fast problem. The stabilized approach employs static stabilization, the same airspeed all the way down. Deceleration seems not to come to mind, or is considered too dangerous. In cockpit resource management, stable, do one thing at a time, is touted. This is static. When Sully turned the APU on out of sequence on the engine out checklist, while making an energy management turn to the Hudson, that was dynamic thinking that saved lives in the back.
Areas of dynamic stabilization, like the law of the roller coaster and dynamic proactive rudder movement, get less attention. Yet the design of the airplane promotes dynamic stabilization. The airplane really wants to do it that way and is more effective (walking the rudder) and more efficient (energy management turn) doing it that way. Before instrument integration, flying was taught more dynamically. Using only reference to instruments, dynamic control movement had to be slowed down and limits to control movement had to be set.
Bracketing, dynamic proactive control movement, is employed effectively to control most any vehicle or machine in use. It is effective in rudder, elevator, and even throttle control movement. It is problematic in aileron control movement. Adverse yaw was something all the design engineers, save Fred Weick, could not eliminate. There is no dynamic proactive stabilization of aileron, save Ercoupe, in normal airplane design. Computer stabilized airplanes and helicopters are a different matter.
Awkward at first, dynamic proactive control movement is the cat's meow when practiced to proficiency. Nothing will get just right righter than rapidly alternating just a bit wrong each way. Historically, look at the bicycle or further back homo erectus. Progressively, look at bot. Listen to the servos when this guy is just standing still. We are innately stabilized with dynamic proactive muscle movement. As a young tennis player, I knew this. As a broken back and crushed leg rebuild old fart with nerve damage, I am up front and personal with the loss of dynamic proactive muscle control to stabilize human standing erectus. I walk a mile a day just fine. At the pharmacy, the chair for old guys is gone due to the pandemic. Walmart associates ask why the old man is taking a knee while waiting in line. Hover is a bitch now.
