  One of the central questions in control theory is achieving stability through
feedback control. This paper introduces a novel approach that combines
Reinforcement Learning (RL) with mathematical analysis to address this
challenge, with a specific focus on the Sterile Insect Technique (SIT) system.
The objective is to find a feedback control that stabilizes the mosquito
population model. Despite the mathematical complexities and the absence of
known solutions for this specific problem, our RL approach identifies a
candidate solution for an explicit stabilizing control. This study underscores
the synergy between AI and mathematics, opening new avenues for tackling
intricate mathematical problems.
