RECONSTRUCTION OF DYNAMICALLY DISTORTED SIGNALS BASED ON THE THEORY OF OPTIMAL CONTROL OF SOLUTIONS FOR SOBOLEV TYPE EQUATIONS IN THE SPACES OF STOCHASTIC PROCESSES

DOI10.14529/mmph220304zbMath1499.34332MaRDI QIDQ5052947

O. N. Tsyplenkova, Alena Aleksandrovna Zamyshlaeva

Publication date: 25 November 2022

Published in: Bulletin of the South Ural State University series "Mathematics. Mechanics. Physics" (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vyurm525

zbMATH Keywords

strong solutionsoptimal control problemSobolev type equationsdynamic measurementsadditive ``noise

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Ordinary differential equations and systems with randomness (34F05)

Cites Work

• Unnamed Item
• Global and stochastic analysis with applications to mathematical physics
• Linear Sobolev type equations and degenerate semigroups of operators
• Reconstruction of a dynamically distorted signal based on the theory of optimal dynamic measurements
• Some Generalizations of the Showalter - Sidorov Problem for Sobolev-Type Models
• Optimal Control in Linear Sobolev Type Mathematical Models
• Multipoint Initial-final Problem for One Class of Sobolev Type Models of Higher Order with Additive "White Noise"

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