Bahman Gharesifard | Queen's University
Fundamental Limits in Control and Optimization of Networked Systems
The emergence of network sciences within the disciplines of engineering, biological, and social systems has revealed numerous opportunities for sensing and feedback. This development, together with the availability of an abundance of useful data, has provided capabilities that allow for the execution of remarkably complex tasks, which cannot be handled by individual systems. I will provide an overview of some of the recent advancements on control and optimization of large-scale networked systems, mathematically modelled as dynamical systems with external inputs over graphs. The talk will focus on fundamental limits to decentralization; I will show graph-theoretic conditions that decentralization imposes on the controllability and stabilization of sparse systems, as well as a class of submodoular optimization problems. One key objective throughout the talk is to showcase the versatile set of mathematical tools that naturally enter the study of networked systems.