Well-posedness and approximate controllability of neutral network systems
Optimization and Control
2021-01-14 v1
Abstract
In this paper, we study the concept of approximate controllability of retarded network systems of neutral type. On one hand, we reformulate such systems as free-delay boundary control systems on product spaces. On the other hand, we use the rich theory of infinite-dimensional linear systems to derive necessary and sufficient conditions for approximate controllability. Moreover, we propose a rank condition for which we can easily verify the conditions of controllability. Our approach is mainly based on the feedback theory of regular linear systems in the Salamon-Weiss sense.
Keywords
Cite
@article{arxiv.2101.05011,
title = {Well-posedness and approximate controllability of neutral network systems},
author = {Yassine El Gantouh and Said Hadd},
journal= {arXiv preprint arXiv:2101.05011},
year = {2021}
}