Geodesic
The problem of existence of feedback control for one nonlinear viscous fractional Voigt model
Contemporary Mathematics. Fundamental Directions, Proceedings of the Voronezh Winter Mathematical Krein School — 2024, Tome 70 (2024) no. 4, pp. 586-596 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we study the feedback control problem for a mathematical model describing the motion of a nonlinear viscous fluid with infinite memory along the trajectories of the velocity field. The existence of an optimal control that gives a minimum to a given bounded and lower semicontinuous quality functional is proved. The proof uses the approximation-topological approach, the theory of regular Lagrangian flows, and the theory of topological degree for multivalued vector fields.
Keywords: feedback control, optimal control, nonlinear viscous fluid, approximation-topological approach, regular Lagrangian flow, topological degree. 
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A. V. Zvyagin; E. I. Kostenko. The problem of existence of feedback control for one nonlinear viscous fractional Voigt model. Contemporary Mathematics. Fundamental Directions, Proceedings of the Voronezh Winter Mathematical Krein School — 2024, Tome 70 (2024) no. 4, pp. 586-596. http://geodesic.mathdoc.fr/item/CMFD_2024_70_4_a5/

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