title: Searching for the cost-optimal road trajectory on the relief of the terrain
metadata.name: dc.contributor.author
metadata.value: Abbasov, Majid E.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Sharlay, Artyom S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-05-04T14:05:06Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-05-04T14:05:06Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Abbasov M. E., Sharlay A. S. Searching for the cost-optimal road trajectory on the relief of the terrain. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 1, pp. 4–12.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2021.101
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/28419
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article analyzes the problem of obtaining the cost-optimal trajectory for building a road.
  Using the apparatus of mathematical modelling, the authors derive the cost functional,
  the argument of which is the function that describes the path trajectory. The resulting
  functional after some additional transformations is written in a simpler form. For the problem
  of the calculus of variations obtained in this manner, an optimality condition is derived. This
  condition takes into account the specifics of the constructed functional. Unlike the classical
  Euler—Lagrange condition, it leads not to a differential, but to an integro-differential equation.
  An illustrative example of the numerical solution of the obtained equation using the
  methods of computational mathematics is provided.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The necessary conditions for a minimum in the considered problem (section 2) were obtained at
  the IPME RAS with the financial support of 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: calculus of variations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: integro-differential equations
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Searching for the cost-optimal road trajectory on the relief of the terrain
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 01_Аббасов.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/28419/1/01_%d0%90%d0%b1%d0%b1%d0%b0%d1%81%d0%be%d0%b2.pdf
resources.format: Adobe PDF
resources.size: 358,58 kB