English

A corona theorem for an algebra of Radon measures with an application to exact controllability for linear controlled delayed difference equations

Optimization and Control 2024-01-08 v2 Dynamical Systems

Abstract

This paper proves a corona theorem for the algebra of Radon measures compactly supported in R\mathbb{R}_- and this result is applied to provide a necessary and sufficient Hautus--type frequency criterion for the L1L^1 exact controllability of linear controlled delayed difference equations (LCDDE). Hereby, it solves an open question raised in [6].

Keywords

Cite

@article{arxiv.2311.15915,
  title  = {A corona theorem for an algebra of Radon measures with an application to exact controllability for linear controlled delayed difference equations},
  author = {Sebastien Fueyo and Yacine Chitour},
  journal= {arXiv preprint arXiv:2311.15915},
  year   = {2024}
}