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arXiv · 2101.05011

Well-posedness and approximate controllability of neutral network systems

Yassine El Gantouh·Said Hadd
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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.

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Yassine El Gantouh, Said Hadd. 2021-01-13. Well-posedness and approximate controllability of neutral network systems. https://arxiv.org/abs/2101.05011

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