Left-coprimeness condition for the reachability in finite time of pseudo-rational systems of order zero with an application to difference delay systems
arXiv:2409.12767 · doi:10.1016/j.sysconle.2025.106051
Abstract
The paper investigates the reachability in finite time of pseudo-rational systems of order zero. A bound on the minimal time of reachability is obtained and the reachability property for integrable functions is characterized in terms of a left-coprime condition. The results are applied to difference delay systems with distributed delays.