A cut-off method to realize the exact boundary controllability of nodal profile for Saint-Venant systems on general networks with loops

Abstract In this paper, we consider the exact boundary controllability of nodal profile for Saint-Venant systems on a network with loops. In the case with one object-node, the proposed cut-off method not only contains the results obtained in [13] on a special network with a triangle-like loop in a unified way, but also generalizes these results to general networks with loops. Based on the results in the case with one object-node, the proposed cut-off method can also be applied successfully to the case with several object-nodes.