3 papers
math.DS2026
Balanced truncation for bilinear time-delay systems with approximate Gramians
Xiaolong Wang, Xin Su, Xuerong Yang
A balanced truncation (BT) procedure is presented to achieve a structure-preserving model order reduction (MOR) for bilinear time-delay systems in this paper. We attempt to define…
math.NA2025
Data-driven balanced truncation for second-order systems via the approximate Gramians
Xiaolong Wang, Xuerong Yang, Xiaoli Wang +1
This paper studies the data-driven balanced truncation (BT) method for second-order systems based on the measurements in the frequency domain. The basic idea is to approximate Gram…
math.OC2024
Model order reduction for discrete time-delay systems with inhomogeneous initial conditions
Xiaolong Wang, Kejia Xu
We propose two kinds of model order reduction methods for discrete time-delay systems with inhomogeneous initial conditions. The peculiar properties of discrete Walsh functions are…