3 papers
eess.SY2025
Coherency Analysis in Nonlinear Heterogeneous Power Networks: A Blended Dynamics Approach
Yixuan Liu, Yingzhu Liu, Pengcheng You
Power system coherency refers to the phenomenon that machines in a power network exhibit similar frequency responses after disturbances, and is foundational for model reduction and…
math.OC2025
Discovering Mechanistic Causality from Time Series: A Behavioral-System Approach
Yingzhu Liu, Shengyuan Huang, Zhongkui Li +2
Identifying ``true causality'' is a fundamental challenge in complex systems research. Widely adopted methods, like the Granger causality test, capture statistical dependencies bet…
math.OC2024
A Unified Analysis of Saddle Flow Dynamics: Stability and Algorithm Design
Pengcheng You, Yingzhu Liu, Enrique Mallada
This work examines the conditions for asymptotic and exponential convergence of saddle flow dynamics of convex-concave functions. First, we propose an observability-based certifica…