Adding an integrator to a non stabilizable homogeneous planar system **The authors gratefully acknowledge research support from the Belgian Programme on Interuniversity Poles of Attraction, initiated by the Belgian State, Prime Minister's Office for Science, Technology and Culture, and from the EC-Science Project SC1-0433-C(A). The first author also acknowledges partial support from the following organizations: National Science Foundation under Grant ECS-9203491, Air Force Office of Scientific Research under Grant F-49620-92-J-0495, Belgian American Educational Foundation, and North Atlantic Treaty Organization. The scientific responsibility rests with the authors.