<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Graduate School of Economics and Management

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The paper aims at studying a class of second-order partial differential equations subject to uncertainty involving unknown inputs for which no probabilistic...

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

Online veröffentlicht: 23. Sept. 2017

Seitenbereich: 467 - 475

Eingereicht: 30. Nov. 2016

Akzeptiert: 04. Mai 2017

DOI: https://doi.org/10.1515/amcs-2017-0032

Schlüsselwörter
second-order partial differential equation, equations of reconstruction

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

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Online veröffentlicht: 23. Sept. 2017

Seitenbereich: 467 - 475

Eingereicht: 30. Nov. 2016

Akzeptiert: 04. Mai 2017

DOI: https://doi.org/10.1515/amcs-2017-0032

Schlüsselwörtersecond-order partial differential equation, equations of reconstruction

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

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Schlüsselwörter
second-order partial differential equation, equations of reconstruction