Half Duplex and Full Duplex mean the same things in Ethernet as they do in Serial.
http://en.wikipedia.org/wiki/10baset
Older PLC-5E controllers support an AUI interface and 10 Mb/s Half-Duplex Ethernet. The AUI transceiver is responsible for converting to 10Base-T, 10Base-2, 10Base-5, or fiber optics.
Older SLC-5/05 controllers have a 10Base-T plug built in.
By "Older", I mean "From the early 1990s until about 2004".
PLC-5E controllers after Series F have a built-in 100Base-TX connector (the conventional Ethernet 8-pin "RJ45" style) and SLC-5/05 controllers with Series C hardware also support modern 100Base-TX Ethernet. These are easily distinguished by the presence of the text "10/100 MB" next to the Ethernet port instead of the letters "ENET".
If you have older half-duplex equipment, it is up to your and your IT department to properly configure your new switches to accommodate the older fixed-speed half-duplex hardware.
Most modern Ethernet switches perform Auto-Negotiation, and will properly fail auto-negotiation with a 10 MB/s Half-Duplex device. Some switches, however, continue to send Auto-Negotiation packets that can interrupt communications, and therefore must be manually set to 10 Mb/s Half-Duplex.