paper

A homotopy theorem for incremental stability

arXiv:2412.01580

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.

A homotopy theorem for incremental stability · wovepaper