Graph Theory in Systems and Controls

Daniel Zelazo, Mehran Mesbahi, Mohamed-Ali Belabbas

Abstract: This tutorial paper aims to explore the role of graph theory for studying networked and multi-agent systems. The session will cover basic concepts from graph theory along with surveying its role in problems related to cooperative control and distributed decision-making. Finally, we will also introduce some advanced topics from graph theory in the hope of encouraging further discussion and explore new research opportunities in system and control theory.