Abstract
The lack of boundary controls is often encountered in practical applications and causes a crucial difficulty for realizing the exact boundary controllability. In this paper, taking the Saint-Venant system as example, by means of a global constructive method based on the theory on the semi-global C1 solution to quasilinear hyperbolic systems, we establish the exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals. The principles of providing the nodal profiles, of choosing the boundary controls and of transferring the boundary controls are presented, respectively.
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