J.F. Jardine, “A closed model structure for differential graded algebras”, Cyclic Cohomology and Noncommutative Geometry, Fields Institute Communications, Vol. 17, AMS (1997), 55-58.
Ivorra gave a talk in Oberw July 09 in which he defined an A-infty algebra as something with an infinite sequenec of maps, and said that if you take all these except the first three to be zero, you recover the def of a DGA. Hence I guess CDGAs should correspond to E-infty algebras, and sheaves of cDGAs to blabla.
nLab page on DGA