Regulation of Differential Drive Robots using Continuous Time MPC without Stabilizing Constraints or Costs**M.W. Mehrez, G.K.I. Mann, and R.G. Gosine are supported by Natural Sciences and Engineering Research Council of Canada (NSERC), the Research and Development Corporation (RDC), CCORE J.I. Clark Chair, and Memorial University of Newfoundland. M. Zanon and M. Diehl are supported by Research Council KUL: PFV/10/002 Optimization in Engineering Center OPTEC, GOA/10/09 MaNet and GOA/10/11 Global real- time optimal control of autonomous robots and mechatronic systems, KULBOF OT/10/035. Flemish Government: FWO: PhD/postdoc grants, FWO KAN2013 1.5.189.13, FWO-G.0930.13; IWT: PhD Grants, projects: Eurostars SMART; Belgian Federal Science Policy Office: IUAP P7 (DYSCO, Dynamical systems, control and optimization, 2012-2017); EU: FP7-SADCO (MC ITN-264735), FP7-TEMPO (MC ITN-607957), ERC HIGHWIND (259 166).