English

$L^q$ approximate controllability frequency criterion for linear difference delay equations with distributed delays

Optimization and Control 2025-05-21 v2 Dynamical Systems

Abstract

Based on an algebraic point of view and the realization theory developed by Y. Yamamoto, the present paper states a necessary and sufficient criterion, given in the frequency domain, for the LqL^q approximate controllability in finite time of linear difference delay equations with distributed delays. Furthermore, an upper bound for the minimal time of the LqL^q approximate controllability is obtained.

Keywords

Cite

@article{arxiv.2409.13777,
  title  = {$L^q$ approximate controllability frequency criterion for linear difference delay equations with distributed delays},
  author = {Sébastien Fueyo},
  journal= {arXiv preprint arXiv:2409.13777},
  year   = {2025}
}
R2 v1 2026-06-28T18:51:49.235Z