Commutation relations and stability of switched systems: a personal history

2023/04/21 by Daniel Liberzon, Liberzon, Daniel · 1 voice
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Quantum chaos and dynamical systems #Stability and Control of Uncertain Systems #math.DS #math.OC

paper · pdf · doi:10.48550/arxiv.2304.11155

openalex publication_date 2023/04/21 · openalex created_date 2023/04/27 · openalex updated_date 2026/07/28

Abstract

This expository article presents an overview of research, conducted mostly between the mid-1990s and late 2000s, that explores a link between commutation relations among a family of asymptotically stable vector fields and stability properties of the switched system that these vector fields generate. This topic is viewed through the lens of the author's own involvement with it, by interspersing explanations of technical developments with personal reminiscences and anecdotes.

Discussions

• “Russian technical literature is not causal; you prove a theorem, and some time later it appears in an old Russian paper.” src: https://arxiv.org/abs/2304.11155 [bsky, 5 points, 1 comments]

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