RECONSTRUCTION OF THE SET OF CONTROLS BY MEASUREMENTS OF THE STATES OF AN EVOLUTION SYSTEM

An inverse problem of dynamics is considered, namely, to reconstruct a see of a priori unknown controls (perturbations) applied to a non-lin ear dynamical system and generating an observable motion of the system . The information for the reconstruction is obtained by approximate me asurements of the changing phase states of the system; the reconstruct ion is carried out in real time in the Hausdorff metric. This problem is known to be ill posed. It is proposed to solve it using constructiv e, physically realizable, regularizing finite-staged position algorith ms for the stable dynamical approximation of the unknown set. (C) 1997 Elsevier Science Ltd. All rights reserved.