English

$\nu$-Analysis: A New Notion of Robustness for Large Systems with Structured Uncertainties

Optimization and Control 2022-04-13 v1

Abstract

We present a new, scalable alternative to the structured singular value, which we call ν\nu, provide a convex upper bound, study their properties and compare them to 1\ell_1 robust control. The analysis relies on a novel result on the relationship between robust control of dynamical systems and non-negative constant matrices.

Keywords

Cite

@article{arxiv.2204.05359,
  title  = {$\nu$-Analysis: A New Notion of Robustness for Large Systems with Structured Uncertainties},
  author = {Olle Kjellqvist and John C. Doyle},
  journal= {arXiv preprint arXiv:2204.05359},
  year   = {2022}
}

Comments

Submitted to CDC2022, six pages. Companion article: arXiv:2204.02493