This paper presents stability analysis of fuzzy reactive navigation applied to the nonholonomic mobile robot ROMEO-3R. Reactive navigation approaches are emerging as an alternative to (or in combination with) planned schemes, but they usually present worse dynamic performance (oscillations are very common in these techniques). Influence of the own reactive navigation parameters (such as sensor range, computation time, control gains,...) in the stability of the system is analysed. Furthermore, stability conditions in terms of these parameters are also introduced.