Discrete dynamical systems: inverse problems and related topics
Analysis of PDEs
2025-05-09 v1 Spectral Theory
Abstract
In this review, we extend the Boundary Control method\, -- \,an approach to inverse problems based on control theory for dynamical systems \, -- \,to inverse problems for discrete dynamical systems. We apply our results to classical moment problems, Toda lattices, Weyl functions, de Branges spaces, Krein-Stieltjes strings, and also to problems of numerical simulations.
Keywords
Cite
@article{arxiv.2505.05161,
title = {Discrete dynamical systems: inverse problems and related topics},
author = {Alexander Mikhaylov and Victor Mikhaylov},
journal= {arXiv preprint arXiv:2505.05161},
year = {2025}
}