Geodesic
On some problems of trajectory beam program control. Part~II
The Bulletin of Irkutsk State University. Series Mathematics, Tome 47 (2024), pp. 3-11

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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. 
@article{IIGUM_2024_47_a0,
     author = {Dmitri A. Ovsyannikov and Elena D. Kotina},
     title = {On some problems of trajectory beam program control. {Part~II}},
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Dmitri A. Ovsyannikov; Elena D. Kotina. On some problems of trajectory beam program control. Part~II. The Bulletin of Irkutsk State University. Series Mathematics, Tome 47 (2024), pp. 3-11. http://geodesic.mathdoc.fr/item/IIGUM_2024_47_a0/