Research output: Contribution to journal › Article › peer-review
Discrete dynamical systems: Inverse problems and related topics. / Михайлов, Александр Сергеевич; Михайлов, Виктор Сергеевич.
In: Journal of Inverse and Ill-Posed Problems, 08.01.2025.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Discrete dynamical systems: Inverse problems and related topics
AU - Михайлов, Александр Сергеевич
AU - Михайлов, Виктор Сергеевич
PY - 2025/1/8
Y1 - 2025/1/8
N2 - In this review, we extend the boundary control method – an approach to inverse problems based on control theory for dynamical systems – to inverse problems for discrete dynamical systems. We apply our results to classical moment problems, Toda lattices, Weyl functions, de Branges spaces, Krein–Stieltjes strings, and also to problems of numerical simulations.
AB - In this review, we extend the boundary control method – an approach to inverse problems based on control theory for dynamical systems – to inverse problems for discrete dynamical systems. We apply our results to classical moment problems, Toda lattices, Weyl functions, de Branges spaces, Krein–Stieltjes strings, and also to problems of numerical simulations.
KW - Inverse dynamic problems
KW - Jacobi matrices
KW - Krein equations
KW - Krein string
KW - Toda lattices
KW - Weyl function
KW - boundary control method
KW - discrete systems
KW - numerical simulation
KW - quantum graphs
UR - https://www.mendeley.com/catalogue/d417914f-5ae8-3854-be20-a9355594f98f/
U2 - 10.1515/jiip-2024-0062
DO - 10.1515/jiip-2024-0062
M3 - Article
JO - Journal of Inverse and Ill-Posed Problems
JF - Journal of Inverse and Ill-Posed Problems
SN - 0928-0219
ER -
ID: 129230246