Feedback design of differential equations of reconstruction for second–order distributed parameter systems-Reference-Cited by-同舟云学术

Feedback design of differential equations of reconstruction for second–order distributed parameter systems

Published:2017-09-01 Issue:3 Volume:27 Page:467-475
ISSN:2083-8492
Container-title:International Journal of Applied Mathematics and Computer Science
language:en
Short-container-title:

Author:

Maksimov Vyacheslav I.¹²,Mordukhovich Boris S.³⁴

Affiliation:

1. Institute of Mathematics and Mechanics , Ural Branch of the Russian Academy of Sciences , S. Kovalevskaya 16, Yekaterinburg 620990 , Russian Federation

2. Graduate School of Economics and Management , Ural Federal University , Yekaterinburg 620002 , Russian Federation

3. Department of Mathematics , Wayne State University , Detroit , MI 48202 , United States of America

4. Department of Mathematics , RUDN University , Moscow 117198 , Russian Federation

Abstract

Abstract The paper aims at studying a class of second-order partial differential equations subject to uncertainty involving unknown inputs for which no probabilistic information is available. Developing an approach of feedback control with a model, we derive an efficient reconstruction procedure and thereby design differential equations of reconstruction. A characteristic feature of the obtained equations is that their inputs formed by the feedback control principle constructively approximate unknown inputs of the given second-order distributed parameter system.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference19 articles.

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5. Kryazhimskii, A.V. and Osipov, Yu.S. (1995). Inverse Problems for Ordinary Differential Equations: Dynamical Solutions, Gordon and Breach, London.

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