8 papers
Comparative Analysis of Interval Reachability for Robust Implicit and Feedforward Neural Networks
Alexander Davydov, Saber Jafarpour, Matthew Abate +2
We use interval reachability analysis to obtain robustness guarantees for implicit neural networks (INNs). INNs are a class of implicit learning models that use implicit equations…
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…
Weak and Semi-Contraction for Network Systems and Diffusively-Coupled Oscillators
Saber Jafarpour, Pedro Cisneros-Velarde, Francesco Bullo
We develop two generalizations of contraction theory, namely, semi-contraction and weak-contraction theory. First, using the notion of semi-norm, we propose a geometric framework f…
Transient Stability of Droop-Controlled Inverter Networks with Operating Constraints
Kevin D. Smith, Saber Jafarpour, Francesco Bullo
Due to the rise of distributed energy resources, the control of networks of grid-forming inverters is now a pressing issue for power system operation. Droop control is a popular co…
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…