Global exact controllability of a class of quasilinear hyperbolic systems
This paper treats a distributed parameter boundary control system described by a reducible quasilinear hyperbolic system \[ {\partial r\over\partial t}+\lambda(r,s) {\partial r\over\partial x}=0 \] \[ {\partial s \over\partial t}+ \mu(r,s){\partial s\over \partial x}=0, \quad x\in [0,1], \] (where \(\lambda(r,s) <0<\mu(r,s))\) with the nonlinear boundary conditions \[ s=g (r,t)+h_1(t)\text{ at }x=0 \] \[ r=f(s,t)+h_2(t)\text{ at }x=1. \] It is shown that the system is globally exactly boundary controllable in the linear degenerate case.
distributed parameter boundary control system
scientific article; zbMATH DE number 1218648
scientific article