5 papers · 1 filter
Non-Euclidean Monotone Operator Theory and Applications
Alexander Davydov, Saber Jafarpour, Anton V. Proskurnikov +1
While monotone operator theory is often studied on Hilbert spaces, many interesting problems in machine learning and optimization arise naturally in finite-dimensional vector space…
Resilience of Input Metering in Dynamic Flow Networks
Saber Jafarpour, Samuel Coogan
In this paper, we study robustness of input metering policies in dynamic flow networks in the presence of transient disturbances and attacks. We consider a compartmental model for…
Graph-Theoretic Stability Conditions for Metzler Matrices and Monotone Systems
Xiaoming Duan, Saber Jafarpour, Francesco Bullo
This paper studies the graph-theoretic conditions for stability of positive monotone systems. Using concepts from input-to-state stability and network small-gain theory, we first e…
Singular Perturbation and Small-signal Stability for Inverter Networks
Saber Jafarpour, Victor Purba, Sairaj V. Dhople +2
This paper examines small-signal stability of electrical networks composed dominantly of three-phase grid-following inverters. We show that the mere existence of a high-voltage pow…
Flow and Elastic Networks on the -torus: Geometry, Analysis, and Computation
Saber Jafarpour, Elizabeth Y. Huang, Kevin D. Smith +1
Networks with phase-valued nodal variables are central in modeling several important societal and physical systems, including power grids, biological systems, and coupled oscillato…