Abstract by Keaton Kimball
Fundamental Symmetries in the Security of Feedback Systems
Controllability and observability conditions are necessary to effectively control a dynamic system through feedback interaction. One method for doing so uses a particular architecture characteristic of linear quadratic optimal control. This work explores whether the linear quadratic optimal controller results in a system that itself is controllable and observable with respect to the "to-be-controlled" system. Exploring the possibility of breaking controllability and observability symmetries has important implications for security and begs the question, "who is really controlling who?" in feedback systems.