Eventually conquered by Bijapur, for 10 points, identify this Kannada-
One ruler of this empire delegated most of his authority to his son, who used his fortress at Udayagiri to conduct a 25-year-long campaign against the Reddi kings of Kondavidu whose territory lay north of this empire. This empire's king Bukka I expelled Muslims from Madurai, and its king Devaraya II pacified the Gajapati region and recruited Muslim mercenaries, even building them a mosque in his capital. This empire's ruling lineages included one founded by the general Saluva Narasimha, as well as the Sangama family, named after the brothers who founded this empire; the elder of those brothers was its first king, Harihara I. This empire, which reached its zenith under Krishnadevaraya, took its name from its capital on        the Tungabhadra River, which was modeled after the Chalukyan capitals of Vatapi and Aihole, and whose name means "City of Victory." Eventually conquered by Bijapur, for 10 points, identify this Kannada- and Telugu-speaking empire based in the Deccan plateau, which controlled the southern portion of the Indian subcontinent from the mid-14th to the mid-17th centuries.
One ruler of this empire delegated most of his authority to his son, who used his fortress at Udayagiri to conduct a 25-year-long campaign against the Reddi kings of Kondavidu whose territory lay north of this empire.
Vijayanagara