Self-government in local matters by a city or county that is part of a national government WordNet 3.0 & Open English WordNet

Home rule is government of a colony, dependent country, or region by its own citizens. Wikipedia

Governance of a colony, dependent country, locality, or region by its own citizens Wikidata

The rule or government of an appendant or dependent country, as to some or all local and internal legislation, by means of a governing power vested in the people within the country itself, in contradistinction to a government established by the dominant country. Wiktionary