English

Commutation relations and stability of switched systems: a personal history

Optimization and Control 2023-04-24 v1 Dynamical Systems

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.

Keywords

Cite

@article{arxiv.2304.11155,
  title  = {Commutation relations and stability of switched systems: a personal history},
  author = {Daniel Liberzon},
  journal= {arXiv preprint arXiv:2304.11155},
  year   = {2023}
}