Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems
Optimization and Control
2024-05-14 v3
Abstract
This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite-dimensional realization theory, we obtain both necessary and sufficient conditions for approximate and exact controllability, expressed in the frequency domain. The results are applied to flows in networks.
Cite
@article{arxiv.2310.04088,
title = {Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems},
author = {Yacine Chitour and Sébastien Fueyo and Guilherme Mazanti and Mario Sigalotti},
journal= {arXiv preprint arXiv:2310.04088},
year = {2024}
}