Optimal Feedback Control for a Model of Motionof a Nonlinearly Viscous Fluid

We consider an optimal feedback control problem for an initial–boundary value problem describing the motion of a nonlinearly viscous fluid. We prove the existence of an optimal solution minimizing a given performance functional. To prove the existence of an optimal solution, we use a topological app...

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Bibliographic Details
Published in:Differential equations 2021-01, Vol.57 (1), p.122-126
Main Authors: Zvyagin, V G, Zvyagin, A V, Nguyen, Minh Hong
Format: Article
Language:English
Subjects:
Approximation
Boundary value problems
Control systems
Differential equations
Feedback control
Mathematics
Viscous fluids
Online Access:Get full text
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Summary:We consider an optimal feedback control problem for an initial–boundary value problem describing the motion of a nonlinearly viscous fluid. We prove the existence of an optimal solution minimizing a given performance functional. To prove the existence of an optimal solution, we use a topological approximation method for studying hydrodynamic problems.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266121010110