Coordinate-invariant incremental Lyapunov functions
Majid Zamani, Rupak Majumdar
TL;DR
This paper introduces coordinate-invariant incremental Lyapunov functions and characterizes incremental stability through their existence, offering a new perspective on stability analysis.
Contribution
It proposes coordinate-invariant notions of incremental Lyapunov functions and links them to incremental stability, advancing the theoretical framework.
Findings
Characterization of incremental stability via Lyapunov functions
Introduction of coordinate-invariant incremental Lyapunov functions
Theoretical foundation for stability analysis
Abstract
In this note, we propose coordinate-invariant notions of incremental Lyapunov function and provide characterizations of incremental stability in terms of existence of the proposed Lyapunov functions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsControl and Stability of Dynamical Systems · Adaptive Control of Nonlinear Systems · Stability and Controllability of Differential Equations