Abstract

In this Chapter we will generalize the exact boundary controllability of nodal profile for 1-D first order quasilinear hyperbolic systems on a single spatial interval , discussed in Chap. 4, to that on a tree-like network. A general framework can be established for general 1-D first order quasilinear hyperbolic systems with general nonlinear boundary conditions and general nonlinear interface conditions , provided that there are full of boundary controls in both boundary conditions and interface conditions (see Gu and Li [8]).

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