Maybe a combination of these?
- decrease combat loses (like 50% your fleet will be damaged for 10 turns instead of destroyed)
- promote being in several places at once for several turns (like blockade of a planet, ground invasion)
- relatively high free defence for planets (not in terms of dealing damage to invading ships but as an ability to hold them off for several turns before the defences break down)
I do think you have to be careful with that method though, as one could prolong combat indefinitely with a legion of tiny scout ships, if not balanced well.That's why I was thinking of "You can add forces anytime but it will not extend the battle (3 turns)", so, something like the first ship that arrives there initiates a battle and the battle will last 3 turns. The winner of that battle gets "recently won here" marker or some sort of "space superiority" marker which lasts for 5 turns during which that player (and that player only) can pass through that system ignoring battles. Hmmm, I'm not sure... Or maybe make the battle last just one turn if the enemy is below 20% strength (or even better if he gets annihilated by the first salvo the battle immediatelly ends)?
After thinking it over I say my idea has no sense :D Way too complex & confusing. At least my approach, I'm not saying one of you can't invent some working "multiple turn combat" :)