76 citations · 116 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
Application of gradient descent algorithms based on geodesic distances
Xiaomin Duan, Huafei Sun, Linyu Peng
In this paper, the Riemannian gradient algorithm and the natural gradient algorithm are applied to solve descent direction problems on the manifold of positive definite Hermitian m…
Description of Stability for Linear Time-Invariant Systems Based on the First Curvature
Yuxin Wang, Huafei Sun, Shoudong Huang +1
This paper focuses on using the first curvature of trajectory to describe the stability of linear time-invariant system. We extend the results for two and three-dimensional…
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…