S.D. Codified Laws § 31-13-40

At the time of the meeting referred to in § 31-13-37 or at any adjournment thereof the governing body shall consider any objections to such proposed resolution and may adopt such resolution, with or without amendment as it may deem proper. No amendment shall be made affecting property of any class not included in the original resolution until the owner thereof shall have been given the notice and opportunity to be heard provided by §§ 31-13-37 to 31-13-39, inclusive.