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Numerical Analysis and Applications

, Volume 11, Issue 2, pp 158–169 | Cite as

Tracking the Solution to a Nonlinear Distributed Differential Equation by Feedback Laws

  • Yu. S. Osipov
  • V. I. Maksimov
Article
  • 17 Downloads

Abstract

In this paper, a nonlinear distributed second order equation is considered. An algorithm for tracking a prescribed solution based on constructions of feedback control theory is designed. The algorithm is stable with respect to information noise and computation errors. It is designed for solutions in a sufficiently large time interval.

Keywords

distributed differential equation feedback tracking problem 

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Notes

Acknowledgments

This work was supported by the Russian Science Foundation, project no. 14-11-00539.

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Lomonosov Moscow State UniversityMoscowRussia
  2. 2.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia
  3. 3.Krasovskii Institute of Mathematics and Mechanics, Ural BranchRussian Academy of SciencesYekaterinburgRussia

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