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 the 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.
Citation: Yassine El Gantouh, Said Hadd. Well-posedness and approximate controllability of neutral network systems[J]. Networks and Heterogeneous Media, 2021, 16(4): 569-589. doi: 10.3934/nhm.2021018
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 the 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. Well-posedness and approximate controllability of neutral network systems[J]. Networks and Heterogeneous Media, 2021, 16(4): 569-589. doi: 10.3934/nhm.2021018
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