title: The non-classical optimality condition in the hybrid control problem of hyperbolic and ordinary differential equations with delay
metadata.name: dc.contributor.author
metadata.value: Arguchintsev, Alexander V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Poplevko, Vasilisa P.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-08-19T21:09:25Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-08-19T21:09:25Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Arguchintsev A. V., Poplevko V. P. The non-classical optimality condition in the hybrid control problem of hyperbolic and ordinary differential equations with delay. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2024, vol. 20, iss. 2, pp. 255–264. https://doi.org/10.21638/spbu10.2024.210 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu10.2024.210
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/47271
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, we consider an optimal control problem for a system of linear first-order hyperbolic
  equations in which the inhomogeneity in the right-hand side is determined from the
  controlled linear system of ordinary differential equations with constant delay. The coefficient
  matrix at phase variables in the system of ordinary differential equations depends on
  the control function. The cost functional is linear. On the basis of the exact increment formula
  (without remainder terms) of the cost functional, the problem is reduced to the optimal
  control problem of a system of ordinary differential equations. The result is formulated in
  the form of a non-classical variational optimality condition. The proposed problem reduction
  significantly reduces the amount of calculations when using numerical optimization methods.
  An illustrative example is given.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The research of A. V. Arguchintsev was supported by the Russian Science Foundation, project
  N 23-21-00296, https://rscf.ru/project/23-21-00296/
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 20; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: hybrid problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: hyperbolic system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: delayed system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: exact increment formula
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: variational optimality condition
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: problem reduction
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The non-classical optimality condition in the hybrid control problem of hyperbolic and ordinary differential equations with delay
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: vestnik_spbu10_2024_255.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/47271/1/vestnik_spbu10_2024_255.pdf
resources.format: Adobe PDF
resources.size: 275,11 kB