An associated state is the minor partner in a formal, free relationship between a political territory with a degree of statehood and a (usually larger) nation, for which no other specific term, such as protectorate, is adopted. The details of such "free association" are contained in a Compact of Free Association or Associated Statehood Act and are specific to the countries involved.
See more at Wikipedia.org...
Noun 1. a state or territory partly controlled by (but not a possession of) a stronger state but autonomous in internal affairs; protectorates are established by treaty (synonym) protectorate (hypernym) district, territory, territorial dominion, dominion