Orcs vs. Humans

You simply need a sharp mind to have your hero cast Subjugate on the Cyclops before their first turn.

It won't be possible for the hero to cast Subjugate before the Cyclops' first turn, even with Sharp Mind. The hero's initiative is 10 and doesn't change. Sharp Mind will advance the hero by 25% on the scale. The Daughters of Earth and Warlords have an initiative of 16 and 15, respectively, when entering battle at level 1 of Fury without artifacts. It can be increased even further with artifacts. The screenshots of the start of the battle (which I posted earlier) show the order in which the Orc units and the enemy hero with Sharp Mind move. Out of 10 attempts, the hero with Sharp Mind only overtook 1 Warlord on the scale 2 times. Remember, this is without initiative artifacts. In addition to rings that provide +10% and +20% to initiative, Warlords can also be accelerated by dragon artifacts as melee units (+10%) and as "small" units (+5%). Shamans can be accelerated as melee units (+10%), as casters (+10%), and as "small" units (+5%). This scheme does not include flying units (whose initiative can be reduced with Storm Wind) or ranged units (whose initiative can be reduced with Misty Veil). That is, to reduce our initiative, the enemy will have to find the Relic Staff of the Underworld.
After entering the battle, the Daughters cast Haste on the Warlords, and their initiative becomes even higher.
Each turn of the Warlords moves the Cyclops up the scale. 3 stacks of Warlords with 50-60 units in each stack guarantee 2 and possibly 3 turns for the Cyclops before the hero with Sharp Mind.
It looks something like this:
A stack of Warlords moves the Cyclops 60% up the scale (60 is the maximum possible shift), meaning the Cyclops go immediately. If the Cyclops' morale doesn't trigger, they move to position 0 on the scale and need 2 "nudges" from the Warlords to move to position 1 and attack. If morale does trigger, they go to position 0.5 and after one "nudge" they attack again. If morale triggers again, the third attack of the Cyclops will again be possible after one "nudge". Thus, 3 attacks by the Cyclops are possible before the hero with Sharp Mind.
And let's not forget about War Cry. At level 30, it will move them up 70% on the ATB, and our hero may very well go earlier with the same Sharp Mind and/or Empathy/Knight set, which will be effective with the high initiative of our units (units go more often => morale triggers more often => the hero moves up the scale more effectively => moves the Cyclops more often).