Positional simulation of unconstrained controls for nonlinear distributed systems with dissipation (Q1117879)

A nonlinear distributed system is considered. It is assumed that the system is under the action of an unknown control and furthermore the state trajectory is unknown too. The information we have on this state trajectory consists of corrupted values at some discrete points. The aim of the paper is to construct a stable (with respect to information noise) dynamic algorithm which reproduces the acting control in real time. Under some additional constraints on the error of the state trajectory and the discretization stepsize the author proves an error bound between the calculated control action and the real one.