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arXiv · 2412.01580

A homotopy theorem for incremental stability

Thomas Chaffey·Andrey Kharitenko·Fulvio Forni·Rodolphe Sepulchre
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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.

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Thomas Chaffey, Andrey Kharitenko, Fulvio Forni, Rodolphe Sepulchre. 2024-12-02. A homotopy theorem for incremental stability. https://arxiv.org/abs/2412.01580

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