What is the mathematical thought of cybernetics?

The core idea of cybernetics is feedback. Whether it is the traditional but individual system control or the popular multi-agent system control, the goal is to analyze the state of the system through the received information, and then design the control law to make the system achieve the given goal. Feedback mechanism is a main feature of cybernetics which is different from mathematics. As for mathematical thinking, I feel that it is to analyze the problem, accurately describe the control goal in a mathematical way, and then prove that the control you use can make the system achieve this goal. Many kinds of mathematics may be used in this process. If it is difficult, geometry and algebra may be used, but analytical mathematics is generally used. Personal opinion, please criticize and correct me ~