(a) Any district, as defined by § 7-324, established by special act may, by a two-thirds vote of the voters present at a district meeting, elect to make its charter, including any amendments thereto adopted by special act, subject to amendment by home rule action as hereinafter provided, but no home rule charter amendment shall be adopted which will grant to the district any authority exceeding that granted to districts under this chapter.

(b) A home rule charter amendment shall be initiated by a two-thirds vote of the entire membership of the board of directors or other governing body of the district, or by a petition filed with the clerk of the district for submission to the governing body and signed by not less than ten per cent of the voters of the district. Upon the filing of such petition the clerk shall determine its sufficiency by comparing the signatures thereon with the names of the voters of the district and shall certify its sufficiency or insufficiency to the governing body.

(c) The provisions of sections 7-189, 7-190 and 7-191 shall apply to home rule charter amendments by districts; provided “appointing authority” means the board of directors or other governing body, “electors of the town, city or borough” means voters of a district, “election” means a district meeting, and “town or city clerk” means the district clerk.