2017/09/19 by Mathias Hudoba de Badyn, de Badyn, Mathias Hudoba, Siavash Alemzadeh +3
Physics and Astronomy · #FOS: Mathematics #Model Reduction and Neural Networks #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.1709.06679
openalex publication_date 2017/09/19 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
Nonlinear networked systems are of interest in several areas of research,\nsuch as multi-agent systems and social networks. In this paper, we examine the\ncontrollability of several classes of nonlinear networked dynamics on which the\nunderlying graph admits negative weights. Such signed networks exhibit\nbipartite clustering when the underlying graph is structurally balanced. We\nshow that structural balance is the key ingredient inducing uncontrollability\nwhen combined with a leader-node symmetry and a certain type of dynamical\nsymmetry. We then examine the problem of extracting the bipartite structure of\nsuch graphs from data using Extended Dynamic Mode Decomposition to approximate\nthe corresponding Koopman operator.\n