Exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals

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 C-1 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. (C) 2012 Elsevier Masson SAS. All rights reserved.