Myers' categorical system theory is a double categorical yoga for describing the compositional structure of open dynamical systems. It unifies and builds on previous work on operadic notions of system theory, and provides a strong conceptual scaffolding for behavioral system theory. However, some of the most interesting systems out have a richer compositional structure than that of dynamical systems. These are cybernetic systems, or in other words, interactive control systems. Notable and motivating examples are strategic games and machine learning models. In this talk I'm going to introduce the tools and language of categorical system theory and outline how categorical cybernetics theory might look like. At the end, we will briefly venture into the triple dimension.