Qilong Gu

Exact Boundary Controllability for Quasilinear Hyperbolic Systems on a Tree-Like Network and Its Applications

In this paper we establish the local exact boundary controllability on a star-like network under certain interface conditions. By means of this result, the local exact boundary controllability of unsteady flows with fewer controls is realized in a tree-like network of open canals with general topology.

Semi-global Piecewise Classical Solutions on a Tree-Like Network

In this chapter, semi-global classical solutions on a single interval will be generalized to semi-global piecewise classical solutions on a tree-like network .

Exact Boundary Controllability of Nodal Profile for 1-D First Order Quasilinear Hyperbolic Systems on a Tree-Like Network

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]).

Exact Boundary Controllability of Nodal Profile for 1-D First Order Quasilinear Hyperbolic Systems

A complete theory on the local exact boundary controllability for 1-D quasilinear hyperbolic systems has been established in [11, 12, 16–18].