To register you would need to find an ICRA (International Cultivar Registration Authority) that covers Rudbeckia if there is one. On a quick look I don't see one on the list of ICRA's:
http://www.ishs.org/sci/icrali...
I did find this via Google but I don't see it on the list above:
http://www.ishs.org/sci/icrali...
You could try asking the ISHS:
If there is no registry for Rudbeckia then you can publish the name yourself according to the rules of the International Code of Nomenclature for Cultivated Plants:
http://www.actahort.org/chroni...
There is also the plant patent route if you want to go that far.