2.1. Introduction2.2. Bibliographical study2.3. The PVTOL aircraft model2.4. Control strategy2.4.1. Control of the vertical displacement y2.4.2. Control of the roll angle θ and the horizontal displacement x2.4.2.1. Boundedness of θ2.4.2.2. Boundedness of θ2.4.2.3. Boundedness of x2.4.2.4. Boundedness of x2.4.2.5. Convergence of θ, θ, x and x to zero2.5. Other control strategies for the stabilization of the PVTOL aircraft2.6. Experimental results2.7. Conclusions2.8. Bibliography