High performance aircraft (particularly turbocharged ones) require you to be ahead of them, specially on power reductions. They're usually heavy enough that the inertia they have takes longer to counter, resulting in the temptation to reduce power even more untill suddenly you're way behind the aircraft. Natural correction to this is to add power, but they take longer to accelerate, so being behind causes you to add too much power and the cycle repeats itself.
This is basically what happened to thr Asiana 777 in KSFO. They were highh, they chopped the power (and thought the autopilot would take care of it). To arrest a descent at the point thhey needed to, they should have applied power some time BEFORE they needed it. In other words, STAY FURTHER AHEAD OF THR AIRCRAFT.
A common procedure on High Performance A/C is Power setting profile, where you know what setting you need for take off, cruise, landing, and stick to it and let the plane catch you, not the other way around.
I'm no CFI but This is he technique I was taught and I find it to be the best option so far.
Take Care