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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2024. Vol 47

On Some Problems of Trajectory Beam Program Control. Part II

Author(s)
Dmitri A. Ovsyannikov1, Elena D. Kotina1

1St. Petersburg University, St. Petersburg, Russian Federation

Abstract
The paper considers the problems of macroparameter control in a linear dynamic system. In the authors’ previous paper, such problems in controlling nonlinear systems were investigated. Variations of the considered functionals and necessary optimality conditions were obtained. This paper focuses on the trajectory beam control in the linear case. In this case, the problem of beam control can be reduced to the problem of the individual trajectory control. The developed approach may be of interest in the study of charged particle dynamics in accelerating and focusing structures, as well as in the construction of the velocity field in automatic image processing.
About the Authors

Dmitri A. Ovsyannikov, Dr. Sci. (Phys.–Math.), Prof., Saint Petersburg State University, St. Petersburg, 199034, Russian Federation, d.a.ovsyannikov@spbu.ru

Elena D. Kotina, Dr. Sci. (Phys.–Math.), Prof., Saint Petersburg State University, St. Petersburg, 199034, Russian Federation, e.kotina@spbu.ru

For citation
Ovsyannikov D. A., Kotina E. D. On Some Problems of Trajectory Beam Program Control. Part II. The Bulletin of Irkutsk State University. Series Mathematics, 2024, vol. 47, pp. 3–11. (in Russian) https://doi.org/10.26516/1997-7670.2024.47.3
Keywords
program control, linear systems, velocity field, trajectory beam, functional variation, optimization, image processing
UDC
517.97
MSC
49K99
DOI
https://doi.org/10.26516/1997-7670.2024.47.3
References
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