While there were no “ruling authorities” for the Dutch Republic of 1581-1795, there were three imperial cities (Deventer, Kampen and Zwolle) which stuck coins in the names of the Holy Roman Emperors .
Examples:
Dutch Republic > Deventer, City of N#85676
Dutch Republic > Kampen N#278216
Dutch Republic > Zwolle, City of N#48384
The ruling authorities needed for these three places are:
Rudolph II (1576-1612)
Matthias (1612-1619)
Ferdinand II (1619-1637)
Ferdinand III (1637-1657)
Leopold I (1657-1705)
Thank you.