A homotopy theorem for incremental stability
Optimization and Control
2024-12-03 v1 Systems and Control
Systems and Control
Abstract
A theorem is proved to verify incremental stability of a feedback system via a homotopy from a known incrementally stable system. A first corollary of that result is that incremental stability may be verified by separation of Scaled Relative Graphs, correcting two assumptions in [1, Theorem 2]. A second corollary provides an incremental version of the classical IQC stability theorem.
Cite
@article{arxiv.2412.01580,
title = {A homotopy theorem for incremental stability},
author = {Thomas Chaffey and Andrey Kharitenko and Fulvio Forni and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:2412.01580},
year = {2024}
}