In Austria electric bicycles are regarded as bicycles if
1) their power does not exceed 600 Watt and
2) their design speed does not exceed 25 km/h.
In Austrian law there is no difference between a pedelec - the motor starts when the pedals are moved - and an e-bike - the bike moves even without pedalling.
Sources:
Straßenverkehrsordnung 1960, Abschnitt I, §2, Absatz 1, Punkt 22:
http://www.ris.bka.gv.at/GeltendeFassung.wxe?Abfrage=Bundesnormen&Gesetzesnummer=10011336
Kraftfahrgesetz 1967, Abschnitt I, §1, Absatz 2a (30. Novelle):
http://www.bmvit.gv.at/verkehr/strasse/recht/kfgesetz/index.html
