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

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. © 2017 Vyacheslav I. Maksimov et al., published by De Gruyter Open 2017.

Авторы
Издательство
Walter de Gruyter GmbH
Номер выпуска
3
Язык
Английский
Страницы
467-475
Статус
Опубликовано
Том
27
Год
2017
Организации
  • 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
  • 4 Department of Mathematics, RUDN University, Moscow, 117198, Russian Federation
Ключевые слова
equations of reconstruction; second-order partial differential equation
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