Herman Miller Wall Unit  

They are CSS
which stands for 'Comprehensive Storage System' a vertical shelving system from the mid-1950's through the early 1970's.
This system had vertical poles that either were attached to the wall - and the shelves were connect to the poles,
or
the shelving was 'floating 3" off the wall and the poles were in front and secured by those stablizers you have without the hardware to attach them to the poles you don't have.
Complicated? You bet, but if you had enough pieces to create an installation, you'd have a treasure.

Thanks for the info. Do you ...
Thanks for the info. Do you have any idea where I might be able to find some pictures of a unit that is similiar to mine? Also, is there any chance I could find replacement pieces for the unit? Thanks

Cont'd
I have continued to research this piece and have found alot of good info out there. Do you mind sending me the CSS instruction manual you have? I think that would be extremely helpful as I build my system. Grasshoppermodern@yahoo.com Thanks

"..is there any chance I could find replacement pieces for the unit?"
Sellers do the legwork for you...IxnayEbay.

Get Ready
Components for the CSS system are crazy expensive, well at least for a normal guy like me. A shelf is usually $150, mounting clipsx4 are about $50, and more elaborate components anywhere from $3-700. For that reason I haven't bought any new goodies, since like you I got mine cheap.

It IS a lousy time to start collecting an assembly
but if you already have some pieces, you can get poles and clips at a price that'll make what you have worthwhile keeping.
If you have the wall space, there's nothing more beautiful than Nelson's CSS system.