Abstract:
We consider mixed problem for one-dimensional hyperbolic system of thermal conductivity equations. We construct a class of boundary controls that provide given distribution on phase vector $(T,q)$ in a given moment of time. From this class we choose a control by the Lagrange method that minimize a square functional of loss.
Keywords:hyperbolic conductivity, boundary phase vector control, reduction of boundary control to starting one, Riemann matrices of first and second kind.