Work

A homotopy theorem for incremental stability

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2412.01580

Authors: Chaffey, Thomas, Kharitenko, Andrey, Forni, Fulvio, Sepulchre, Rodolphe

Institutions: University of Cambridge, ETH Zurich, Automatic Control Laboratory, KU Leuven

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: Pembroke College, University of Cambridge, HORIZON EUROPE European Research Council

Award: Spiking Control Systems: an algorithmic theory for control design of physical event-based systems

OpenAlex ID: W4405034384

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Cited by: 1

Related to: 10