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TY - CONF AU - Andrianov, S.N. AU - Edamenko, N.S. ED - Kuzin, Maxim ED - Schaa, Volker RW TI - Formation of a Given Distribution of the Beam in the Periodic Channel J2 - Proc. of RuPAC2016, St. Petersburg, Russia, November 21-25, 2016 C1 - St. Petersburg, Russia T2 - Russian Particle Accelerator Conference T3 - 25 LA - english AB - The article considers the problem of forming a predetermined distribution density of the beam (in the phase or configuration space) in a periodic channel. The proposed approach is based on a method of constructing a beam mapping in the form of a truncated series consisting from matrices up to necessary order of nonlinearities. Similar approach allows us to formulate the given task as an optimization problem for some special functionals, created from parameters of the accelerator. Some results of the testing tasks are demonstrated. PB - JACoW CP - Geneva, Switzerland SP - 411 EP - 413 KW - controls KW - feedback KW - space-charge KW - focusing KW - distributed DA - 2017/02 PY - 2017 SN - 978-3-95450-181-6 DO - 10.18429/JACoW-RuPAC2016-WEPSB023 UR - http://jacow.org/rupac2016/papers/wepsb023.pdf ER -