  This paper focuses on the feedback global stabilization and observer
construction for a sterile insect technique model. The Sterile Insect Technique
(SIT) is one of the most ecological methods for controlling insect pests
responsible for worldwide crop destruction and disease transmission. In this
work, we construct a feedback law that globally asymptotically stabilizes a SIT
model at extinction equilibrium. Since the application of this type of control
requires the measurement of different states of the target insect population,
and in practice, some states are more difficult and very expensive to measure
than others, it is important to know how to construct a state estimator which
from a few measured states, estimates the other ones as the one we build in the
second part of our work. In the last part of our work, we show that we can
apply the feedback control with estimated states to stabilize the full system.
