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Bibliographic Details
Main Authors:	Avdonin, S. A., Mikhaylov, A. S., Mikhaylov, V. S.
Format:	Preprint
Published:	2025
Subjects:	Optimization and Control Spectral Theory
Online Access:	https://arxiv.org/abs/2505.09410
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Table of Contents:

We consider applications of the Boundary Control (BC) method to generalized spectral estimation problems and to inverse source problems. We derive the equations of the BC method for this problems and show that solvability of this equations crucially depends on the controllability properties of the corresponding dynamical system and properties of corresponding families of exponentials.