I am delighted to see someone is interested in this very complex group. In western Europe both these species have been recorded in recent years and particularly A. princeps appears to be an invasive weed. Images of both (including scans of leaves) are available here: http://alienplantsbelgium.be/content/not-every-far-eastern-mugwort-artemisia-verlotiorum. 28 additional photos of Belgian A. princeps are available here (click on the thumbnails to enlarge): http://waarnemingen.be/soort/photos/291343?from=1980-01-01&to=2015-10-20&sex=&id_kleed=0&os=1&id_akt=0&licentie=0&only_rated=0&only_approved=0&type_foto=0&maand=0&page=1.
These species, as we know them here, are easily distinguished: A. argyi has upper leaf surfaces with numerous white sessile glands and is a much more hairy plant that is flowering (at least here) much later in the flowering season, if at all. You'll notice that A. princeps has a very wide, divaricately branched inflorescence and its leaves are glandless.