title: The codifferential descent method in the problem of finding the global minimum of a piecewise affine objective functional in linear control systems
metadata.name: dc.contributor.author
metadata.value: Fominyh, Alexander V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Karelin, Vladimir V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Polyakova, Lyudmila N.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Myshkov, Stanislav K.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tregubov, Vladimir P.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-05-04T14:20:14Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-05-04T14:20:14Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Fominyh A. V., Karelin V. V., Polyakova L. N.,Myshkov S. K., Tregubov V. P. The codifferential descent method in the problem of finding the global minimum of a piecewise affine objective functional in linear control systems. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 1, pp. 47–58.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2021.105
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/28423
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article considers the problem of optimal control of an object described by a linear
  nonstationary system and with a piecewise affine quality functional. The problem is examined
  in Mayer’s form with both free and partially fixed right endpoints. Piecewise continuous and
  bounded controls that lie in some parallelepiped at each moment of time are admissible. The
  standard discretization of the original system and the control parametrization are used,
  some convergence theorems of the discrete problem solution to the continuous problem
  solution are presented. Further, for the obtained discrete system, the necessary and sufficient
  minimum conditions are written out in terms of the codifferential, the method of the modified
  codifferential descent is applied to it, which guarantees to find the global minimum of this
  problem in a finite number of steps. The proposed algorithm is illustrated with examples.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Science Foundation (project N 20-71-10032).
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 17; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: nonsmooth optimal control problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: piecewise affine function
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: codifferential
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: parametrization of control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: method of codifferential descent method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The codifferential descent method in the problem of finding the global minimum of a piecewise affine objective functional in linear control systems
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 05_Фоминых.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/28423/1/05_%d0%a4%d0%be%d0%bc%d0%b8%d0%bd%d1%8b%d1%85.pdf
resources.format: Adobe PDF
resources.size: 275,78 kB