This article is cited in 8 papers

Tracking the solution to a nonlinear distributed differential equation by feedback laws

Yu. S. Osipov^ab, V. I. Maksimov<sup>c

a</sup> Lomonosov Moscow State University, 1 Leninskie Gory, Moscow, 119991, Russia
^b Steklov Mathematical Institute RAS, 8 Gubkina str., Moscow, 119991, Russia
^c Krasovskii Institute of Mathematics and Mechanics UB RAS, 16 S. Kovalevskaya str., Yekaterinburg, 620990, Russia

Abstract: A nonlinear distributed second order equation is considered. An algorithm for tracking a prescribed solution based on constructions from the feedback control theory is designed. The algorithm is stable with respect to informational noise and computational errors. It is oriented to a large enough time interval, where the solution is considered.

Key words: distributed differential equation, feedback, tracking problem.

UDC: 517.977

Received: 31.10.2017
Revised: 01.12.2017

DOI: 10.15372/SJNM20180206

 English version: Numerical Analysis and Applications, 2018, 11:2, 158–169

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