3 papers
eess.SY2025
A Unified Low-rank ADI Framework with Shared Linear Solves for Simultaneously Solving Multiple Lyapunov, Sylvester, and Riccati Equations
Umair Zulfiqar, Zhong-Yi Huang, Qiu-Yan Song +1
The alternating direction implicit (ADI) methods are computationally efficient and numerically effective tools for computing low-rank solutions of large-scale linear matrix equatio…
eess.SY2025
Data-driven Implementations of Various Generalizations of Balanced Truncation
Umair Zulfiqar, Qiu-Yan Song, Zhi-Hua Xiao +1
Quadrature-based approximation of Gramians in standard balanced truncation yields a non-intrusive, data-driven implementation that requires only transfer function samples on the im…
eess.SY2024
Balanced Truncation via Tangential Interpolation
Umair Zulfiqar, Zhi-Hua Xiao, Qiu-yan Song +1
This paper examines the construction of rth-order truncated balanced realizations via tangential interpolation at r specified interpolation points. It is demonstrated that when the…