Zero Forcing for Resilience
Project completed FY 2021
This project aims to develop a rigorous mathematical foundation for measuring a CPS's resilience in terms of the underlying infrastructure network topology. The project will extend the existing mathematical zero-forcing framework to hybrid and nonlinear dynamical systems. A zero-forcing set on a graph is a subset of the vertices, and repeated application of a particular coloring rule results in the entire vertex set being colored. The FY 2021 goal for this project is:
- Goal 1: Write a review article that identifies interconnections between graph theory (zero forcing) and control theory and establishes a common viewpoint between the two theories in the context of resilient critical infrastructure networks.
This goal will be achieved by conducting a comprehensive literature survey of zero forcing and its variants, focusing on touchpoints with observability and controllability. The project will seek to reveal the connection between zero forcing and the degree of a system's controllability and to investigate potential approaches for handling interconnected subsystems with multi-dimensional states (e.g., for the grid's dynamics under adverse conditions).