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In this paper, we study the concept of approximate controllability ofretarded network systems of neutral type. On one hand, we reformulate suchsystems as free-delay boundary control systems on product spaces. On the otherhand, we use the rich theory of infinite-dimensional linear systems to derivenecessary and sufficient conditions for approximate controllability. Moreover,we propose a rank condition for which we can easily verify the conditions ofcontrollability. Our approach is mainly based on the feedback theory of regularlinear systems in the Salamon-Weiss sense.

Well-posedness and approximate controllability of neutral network systems