Geodesic
Feedback design of differential equations of reconstruction for second-order distributed parameter systems
International Journal of Applied Mathematics and Computer Science, Tome 27 (2017) no. 3, pp. 467-475.

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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.
Keywords: partial differential equation, equations of reconstruction, distributed parameter system
Mots-clés : równanie różniczkowe cząstkowe, układ o parametrach rozłożonych, równanie drugiego rzędu 
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Maksimov, V. I.; Mordukhovich, B. S. Feedback design of differential equations of reconstruction for second-order distributed parameter systems. International Journal of Applied Mathematics and Computer Science, Tome 27 (2017) no. 3, pp. 467-475. http://geodesic.mathdoc.fr/item/IJAMCS_2017_27_3_a1/

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