Dynamical reconstruction of controls in parabolic systems
In this paper the problem of the reconstruction of controls in parabolic equations by the results of inaccurate measurements of phase states is investigated. Algorithms for solving this problem that are stable with respect to errors are presented. These algorithms are based on the combination of the model-control principle and the smoothing-functional method. The algorithms proposed employ finite-dimensional models designed by the methods of internal approximation of infinite-dimensional spaces.
scientific article; zbMATH DE number 1467889