suzerainty

n. position of a suzerain; area controlled by a suzerain

Suzerainty ( or ) is a situation in which a region or people is a tributary to a more powerful entity which allows the tributary some limited domestic to control its foreign affairs. The more powerful entity in the suzerainty relationship, or the head of state of that more powerful entity, is called a suzerain. The term suzerainty was originally used to describe the relationship between the Ottoman Empire and its surrounding regions. It differs from sovereignty in that the tributary has some (limited) self-rule. A suzerain can also mean a feudal lord, to whom vassals must pay tribute.
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(n.)
The dominion or authority of a suzerain; paramount authority.
  

Noun
1. the position or authority of a suzerain; "under the suzerainty of..."
(hypernym) dominion, rule
2. the domain of a suzerain
(hypernym) domain, demesne, land