This name is a synonym of Pallenis maritima (L.) Greuter.
The record derives from TICA
(data supplied on 2012-02-11)
which reports it as a synonym (record 87433425-1ED5-45DA-B713-92DCA1DF3403).
This name record (from TICA) was not included in version 1 of The Plant List. It is possible the same name was included from a different data source, to check this you can search for Asteriscus maritimus in version 1 of The Plant List.