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...

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Bibliographic Details
Published in:International journal of applied mathematics and computer science Vol. 27; no. 3; pp. 467 - 475
Main Authors: Maksimov, Vyacheslav I., Mordukhovich, Boris S.
Format: Journal Article
Language:English
Published: Zielona Góra De Gruyter Open 01-09-2017
De Gruyter Poland
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Summary: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.
ISSN:2083-8492
1641-876X
2083-8492
DOI:10.1515/amcs-2017-0032