Reconstruction of Input Disturbances in Parabolic Inclusions Unsolved for the Derivative

The problem of reconstructing a distributed input disturbance in a parabolic inclusion unsolved for the derivative is considered. A solution algorithm that is robust to information noises and computational errors is proposed. The algorithm combines methods of the theory of ill-posed problems and methods of feedback control theory. It reconstructs the unknown input disturbance from the solution of the inclusion measured inaccurately at sufficiently frequent discrete times.