The city council, with respect to property under its control, may in its own discretion and of its own motion or upon the request of any agency of the state, county or of the federal government or upon petition of any person is authorized and empowered to:
(1) Vacate, abandon, discontinue and close any existing public street, alleyway, road, highway or other place used for travel or any portion thereof, other than a state, county or federal highway or road, and to renounce and disclaim any right of the city and the public in and to any land in connection therewith;
(2) Renounce and disclaim any right of the city and the public in and to any land or interest therein acquired by purchase, gift, devise, dedication or prescription for street, alleyway, road or highway purposes, other than lands acquired for state, county and federal highways; and
(3) Renounce and disclaim any right of the city and the public in and to land, other than land constituting or acquired for a state, county or federal highway, delineated on any recorded map or plat as a street, alleyway, road or highway.