Control of distributed systems over graphs

This paper focuses on designing distributed controllers for interconnected systems in situations where the controller sensing and actuation topology is inherited from that of the plant. The main contribution of this work is new results on general graph interconnection structures. This is accomplished by extending our previous machinery developed for systems with spatial dynamics on Zopf ⁿ. We derive analysis and convex synthesis conditions for design in this setting. Furthermore, the methodology developed here provides a unifying viewpoint for our previous and related work on distributed control