The City shall have exclusive dominion, control, and jurisdiction in, upon, over, and under the public streets, sidewalks, alleys, public squares and public ways within the corporate limits of the City and in, upon, over, and under all public property of the City. With respect to each and every public street, sidewalk, alley, highway, public square, public park or other public way within the corporate limits of the City, the City shall have the power to establish, maintain, improve, alter, abandon, or vacate the same, to regulate, establish, or change the grade thereof; to control and regulate the use thereof, and to abate and remove in a summary manner any encroachment thereon.