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TY - CONF AU - Kotina, E.D. AU - Ovsyannikov, D.A. ED - Kuzin, Maksim V. ED - Schaa, Volker RW TI - Charged Particle Dynamics Optimization in Discrete Systems J2 - Proc. of RuPAC2021, Alushta, Crimea, 27 September-01 October 2021 CY - Alushta, Crimea T2 - Russian Particle Accelerator Conference T3 - 27 LA - english AB - Discrete optimization methods of dynamic systems are widely presented in the scientific literature. However, to solve various problems of beam dynamics optimization, it is necessary to create special optimization models that would take into account the specifics of the problems under study. The paper proposes a new mathematical model that includes the joint optimization of a selected (calculated) motion and an ensemble of perturbed motions. Functionals of a general form are considered, which makes it possible to estimate various characteristics of a charged particle beam and the dynamics of the calculated trajectory. The optimization of a bundle of smooth and nonsmooth functionals is investigated. These functionals estimate both the integral characteristics of the beam as a whole and various maximum deviations of the parameters of the particle beam. The variation of a bundle of functionals is given in an analytical form, which allows us to construct directed optimization methods. The selected trajectory can be taken, for example, as the trajectory of a synchronous particle or the center of gravity of a beam (closed orbit). We come to discrete models when we consider the dynamics of particles using a transfer matrices or transfer maps. Optimization problems can be of orbit correction, dynamic aperture optimization, and many other optimization problems in both cyclic and linear accelerators of charged particle beams. PB - JACoW Publishing CP - Geneva, Switzerland SP - 259 EP - 261 KW - controls KW - dynamic-aperture KW - collider KW - factory KW - simulation DA - 2021/10 PY - 2021 SN - 2673-5539 SN - 978-3-95450-240-0 DO - doi:10.18429/JACoW-RuPAC2021-TUPSB13 UR - https://jacow.org/rupac2021/papers/tupsb13.pdf ER -