As a condition to the extending of any benefits under this article to or the performance of any work upon any lands not owned or controlled by this state or any of its agencies, the supervisors of a district may require contributions in money, services, materials, or otherwise to any operations conferring such benefits and may require landowners and occupiers of land to enter into and perform such agreements or covenants as to the permanent use of such lands as will tend to prevent or control erosion thereon.