The airship dynamic model is defined by six ordinary differential equations with three inputs. These inputs correspond to the main and tail thrusters and the tilt angle of the propellers. It is established that the system cannot be stabilized by a time-invariant smooth pure-state feedback law. Then a time-varying continuous feedback law is proposed in an explicit form using averaging theory and homogeneity properties. It is proved that both the position and the attitude of the airship are locally exponentially stable under this law. The AS200 remotely piloted airship by Airspeed Airships is used for simulations.