A Boundary Control Problem for a Nonlinear Parabolic Equation.

This article considers a robust control problem for a nonlinear parabolic system for the case in which the control and the perturbations occur both on the right-hand side of the equation and in the Dirichlet boundary conditions. The aim of the article is to describe a feedback boundary control method and justify it mathematically. If the system is linear in a given phase variable, then the conditions imposed on the measurement results can be weakened.