several German princes, again including Henry XIII of Lower Bavaria. To meet this coalition, Rudolf formed an alliance with King Ladislaus IV of Hungary and gave additional privileges to the Viennese citizens. On 26 August 1278, the rival armies met at the Battle on the Marchfeld, where Ottokar was defeated and killed. The Margraviate of Moravia was subdued and its government entrusted to Rudolf's representatives, leaving Ottokar's widow Kunigunda of Slavonia in control of only the province surrounding Prague, while the young Wenceslaus II was again betrothed to Rudolf's youngest daughter Judith. Rudolf's attention next turned to the possessions in Austria and the adjacent provinces, which were taken into the royal domain. He spent several years establishing his authority there but found some difficulty in establishing his family as successors to the rule of those provinces. At length, the hostility of the princes was overcome. In December 1282, at the Hoftag (imperial diet) in Augsburg, Rudolf invested his sons, Albert and Rudolf II, with the duchies of Austria and Styria and so laid the foundation of the House of Habsburg. Additionally, he made the twelve-year-old Rudolf Duke of Swabia, a merely titular dignity, as the duchy had been without an actual ruler since Conradin's execution. The 27-year-old Duke Albert, married since 1274 to a daughter of Count Meinhard II of Gorizia-Tyrol (1238–95), was capable enough to hold some sway in the new patrimony. In 1286, King Rudolf fully invested Albert's father-in-law Count Meinhard with the Duchy of Carinthia, one of the conquered provinces taken from Ottokar. The Princes of the Empire did not allow Rudolf to give everything that was recovered to the royal domain to his own sons, and his allies needed their rewards too. Turning to the west, in 1281 he compelled Count Philip I of Savoy to cede some territory to him, then forced the citizens of Bern to pay the tribute that they had been refusing. In 1289 he marched against Count Philip's successor, Otto IV, compelling him to do homage. In 1281, Rudolf's first wife died. On 5 February 1284, he married Isabella, daughter of Duke Hugh IV of Burgundy, the Empire's western neighbor in the Kingdom of France. Rudolf was not very successful in restoring internal peace. Orders were indeed issued for the establishment of territorial peaces in Bavaria, Franconia and Swabia, and at the Synod of Würzburg in March 1287 for the whole