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 $\dot{r}(t)=Ar(t)$, (i) if…