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For Yurkovsky:
First, do a check: in the first round, use "wait" with all your units. If the AI immediately retreats at the start of its turn, it probably won't work out. (unless you destroy it before its turn).
If the AI doesn't retreat, great, go through the first round, trying to kill the fastest units, and move on to the second. If you can eliminate it completely in the second round, great, do it. If not, do another check. Use "wait" with all units – if the AI retreats, try to kill slightly fewer units in the first round. If it doesn't, you'll usually be able to finish it off in the third round.
P.S. All of the above makes sense if your army is REALLY stronger. If you're almost defeating the AI, you need to do all of the above in the last or second-to-last round.
P.P.S. Note that "wait" is what matters, not defense. After "wait," you'll most likely have two turns in a row.
P.P.P.S. In general, with a little practice, you'll intuitively know when the AI will retreat and when it won't, and how many units you need to kill so that you can finish it off in the next round, without scaring it to death.