Method of Extremal Shift in Problems of Reconstruction of an Input for Parabolic Variational Inequalities

Abstract

The problem of dynamical reconstruction of a control in a parabolic variational inequality [1–4] through inaccurate measurement of phase state is considered. This problem belongs to the class of dynamical inverse problems which consist in reconstruction of unknown input (a control) of dynamical systems from (inaccurate) measurement of outputs.