title: Optimization of dynamics of trajectory bundles using smooth and nonsmooth functionals. Part 1
metadata.name: dc.contributor.author
metadata.value: Ovsyannikov, Dmitri A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Mizintseva, Maria A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Balabanov, Mihail Yu.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Durkin, Alexander P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Edamenko, Nikolai S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kotina, Elena D.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Ovsyannikov, Alexander D.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-05-22T15:33:41Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-05-22T15:33:41Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ovsyannikov D. A., Mizintseva M. A., Balabanov M. Yu., Durkin A. P., Edamenko N. S., Kotina E. D., Ovsyannikov A. D. Optimization of dynamics of trajectory bundles using smooth and nonsmooth functionals. Part 1. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 1, pp. 73–84.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2020.107
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/17789
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Many different works are devoted to the problems of control and optimization in dynamic
  systems. Interest in these tasks does not decrease with time. New challenges arise in
  the development of technological processes in various fields of science and technology, in
  particular, in the design and creation of modern electrophysical equipment. In this paper,
  the problem of optimization and control of trajectory beams is considered. The problem of joint optimization of the program motion and the beam of perturbed motions using a
  combination of smooth and nonsmooth functionals is investigated. The first part deals with
  the mathematical formulation of the given representation of the variation of investigated
  functional and provides optimality conditions in the form of a maximum principle. In the
  second part, the problem of optimization of dynamics of charged particles in the accelerator
  with spatially homogeneous quadrupole focusing will be considered. Using a combination of
  smooth and non-smooth functions allows you to set the functionals that most accurately
  reflect the requirements for the dynamics of the charged particle beam in accelerators.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 16; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: optimal control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: controlled dynamic system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: trajectory ensemble
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: smooth functional
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: non-smooth functional
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: maximum principle
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: charged particle beam
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: accelerator
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Optimization of dynamics of trajectory bundles using smooth and nonsmooth functionals. Part 1
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 73-84.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/17789/1/73-84.pdf
resources.format: Adobe PDF
resources.size: 271,12 kB