The Council may provide that any person who, in the opinion of the Assessor and not less than five members of the Council, by reason of poverty is unable to contribute toward the cost of the making of a public improvement, may execute to the city an instrument creating a lien for the benefit of the city on all or any part of the real property owned by him and benefitted by any public improvement, which lien will mature and be effective from and after the execution of such instrument, shall be recorded with the Register of Deeds of Eaton County, and shall not be discharged or released until the terms thereof are met in full. The Council shall establish the procedure for making this section effective.