Coordinate-invariant incremental Lyapunov functions
arXiv:1107.26811 citationsh-index: 60
Originality Incremental advance
AI Analysis
This work provides a foundational theoretical tool for control theorists and engineers studying incremental stability of nonlinear systems.
The paper introduces coordinate-invariant incremental Lyapunov functions and characterizes incremental stability through their existence, offering a new theoretical framework for analyzing nonlinear systems.
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.