Geodesic
The existence problem of feedback control for one fractional Voigt model
Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 4, pp. 621-642.

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In this paper, we study the feedback control problem for a mathematical model that describes the motion of a viscoelastic fluid with memory along velocity field trajectories. We prove the existence of an optimal control that gives a minimum to a given bounded and semi-continuous from below quality functional. The proof uses the approximation-topological approach, the theory of regular Lagrangian flows, and the theory of topological degree for multivalued vector fields.
Mots-clés : fractional Voigt model
Keywords: viscoelastic fluid, motion with memory, optimal control, approximation-topological approach, regular Lagrangian flow, topological degree, multivalued vector field. 
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A. V. Zvyagin; E. I. Kostenko. The existence problem of feedback control for one fractional Voigt model. Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 4, pp. 621-642. http://geodesic.mathdoc.fr/item/CMFD_2023_69_4_a4/

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