International Journal of applied mathematics and computer science

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Paper details

Number 3 - September 2017
Volume 27 - 2017

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

Vyacheslav I. Maksimov, Boris S. Mordukhovich

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.

second-order partial differential equation, equations of reconstruction