The phrase "assign itself" is correct and usable in written English.
It can be used in contexts where something is designated or allocated to itself, often in programming or organizational settings.
Example: "The system will automatically assign itself to the available resources based on the current workload."
Alternatives: "allocate itself" or "designate itself".
In other words, each vehicle should assign itself to a target located within the Voronoi region associated with the vehicle.
Washington might like to assign itself full responsibility for remaking Iraq, but the political and economic costs of doing so are sure to be severe.
The court will almost immediately have a chance to indicate whether it wants to let this debate simmer in the lower courts, or assign itself the task of clarifying the full import of today's ruling.
The defense secretary made clear that the long months of debate within the North Atlantic Treaty Organization at the cold war's twilight over whether to assign itself missions outside the boundaries of its member nations had been overtaken.
This extension tells a node that receives a flooding message from an unknown neighbor to assign itself as a BRG and retransmit this message.
If you don't have a DHCP server on your network, the NAS adapter will automatically start a built-in DHCP server, and assign itself an address.
The Turkish military assigned itself a similar supervisory role after its 1980 coup.
Indeed, the most complex and potentially perilous tasks that the United States has assigned itself still lie ahead.
In the end, though, "The Lone Ranger" can't quite pull off the daredevil feats it has assigned itself.
Unaware of what is going on deep down inside, the conscious mind assigns itself the starring role.
It is also that when men and women make decisions together they generally make different and better decisions than when one sex assigns itself all executive responsibilities.
