title: The variational optimality condition in the problem of minimizing the finite state norm by a composite system of hyperbolic and ordinary differential equations
metadata.name: dc.contributor.author
metadata.value: Arguchintsev, Alexander V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-02-19T14:03:48Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-02-19T14:03:48Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Arguchintsev A. V. The variational optimality condition in the problem of minimizing the finite state norm by a composite system of hyperbolic and ordinary differential equations. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 4, pp. 540–548. https://doi.org/10.21638/11701/spbu10.2023.410 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2023.410
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44911
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: An optimal control problem for a system of linear first-order hyperbolic equations is studied.
  The boundary conditions are determined from controlled systems of ordinary differential
  equations. A nonclassical exact formulae for the increment of a linear performance index
  (a finite state norm) is suggested. Based on this result, a variational optimality condition
  is proved. The original optimal control problems for a hyperbolic system is reduced to the
  problem for systems of ordinary differential equations.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was funded 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 19; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: hyperbolic system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: controlled boundary conditions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: norm minimization
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 variational optimality condition in the problem of minimizing the finite state norm by a composite system of hyperbolic and ordinary differential equations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 10.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44911/1/10.pdf
resources.format: Adobe PDF
resources.size: 208,75 kB