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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.

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@article{069da4f5f7e3453198d48a68221c30c3,
title = "Discrete dynamical systems: Inverse problems and related topics",
abstract = "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.",
keywords = "Inverse dynamic problems, Jacobi matrices, Krein equations, Krein string, Toda lattices, Weyl function, boundary control method, discrete systems, numerical simulation, quantum graphs",
author = "Михайлов, {Александр Сергеевич} and Михайлов, {Виктор Сергеевич}",
year = "2025",
month = jan,
day = "8",
doi = "10.1515/jiip-2024-0062",
language = "English",
journal = "Journal of Inverse and Ill-Posed Problems",
issn = "0928-0219",
publisher = "De Gruyter",

}

RIS

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