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

Maksimov V. I., Mordukhovich B. S.

International Journal of Applied Mathematics and Computer Science

2017

Vol. 27, no. 3

467--475

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.