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Global exact controllability of a class of quasilinear hyperbolic systems. (English) Zbl 0915.93007
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.

93C20Control systems governed by PDE
Full Text: DOI
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