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Dynamic systems and optimal control
On some problems of trajectory beam program control. Part II
Dmitri A. Ovsyannikov, Elena D. Kotina St. 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.
Keywords:
program control, linear systems, velocity field, trajectory beam, functional variation, optimization, image processing.
Received: 28.12.2023 Revised: 05.02.2024 Accepted: 12.02.2024
Citation:
Dmitri A. Ovsyannikov, Elena D. Kotina, “On some problems of trajectory beam program control. Part II”, Bulletin of Irkutsk State University. Series Mathematics, 47 (2024), 3–11
Linking options:
https://www.mathnet.ru/eng/iigum551 https://www.mathnet.ru/eng/iigum/v47/p3
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Abstract page: | 34 | Full-text PDF : | 23 | References: | 5 |
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