3 papers
math.DG2020
Geometric Characteristics of Wasserstein Metric on SPD(n)
Yihao Luo, Shiqiang Zhang, Yueqi Cao +1
Wasserstein distance, especially among symmetric positive-definite matrices, has broad and deep influences on development of artificial intelligence (AI) and other branches of comp…
math.OC2020
Torsion Discriminance for Stability of Linear Time-Invariant Systems
Yuxin Wang, Huafei Sun, Yueqi Cao +1
This paper proposes a new approach to describe the stability of linear time-invariant systems via the torsion of the state trajectory. For a system where…
math.OC2018
Description of Stability for Two and Three-Dimensional Linear Time-Invariant Systems Based on Curvature and Torsion
Yuxin Wang, Huafei Sun, Yang Song +2
This paper focuses on using curvature and torsion to describe the stability of linear time-invariant system. We prove that for a two-dimensional system , (i) if…