title: Point control of a differential-difference system with distributed parameters on the graph
metadata.name: dc.contributor.author
metadata.value: Provotorov, Vyacheslav V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Sergeev, Sergey M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Hoang, Van Nguyen
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-10-06T10:43:06Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-10-06T10:43:06Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Provotorov V. V., Sergeev S. M., Hoang V. N. Point control of a differential-difference system with distributed parameters on the graph. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 3, pp. 277-286.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2021.305
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/33251
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article considers the problem of point control of the differential-difference equation with
  distributed parameters on the graph in the class of summable functions. The differential-
  difference system is closely related to the evolutionary differential system and moreover the
  properties of the differential system are preserved. This connection is established by the
  universal method of semi-discretization in a time variable for a differential system, which
  provides an effective tool in order to find conditions for unique solvability and continuity on
  the initial data for the differential-difference system. For this differential-difference system,
  a special case of the optimal control problem is studied: the problem of point control action
  on the controlled differential-difference system is considered by the control, concentrated at
  all internal nodes of the graph. At the same time, the restrictive set of permissible controls
  is set by the means of conditions depending on the nature of the applied tasks. In this
  case, the controls are concentrated at the end points of the edges adjacent to each inner
  node of the graph. This is a characteristic feature of the study presented, quite often used
  in practice when building a mechanism for managing the processes of transportation of
  different kinds of masses over network media. The study essentially uses the conjugate state
  of the system and the conjugate system for a differential-difference system — obtained ratios
  that determine optimal point control. The obtained results underlie the analysis of optimal
  control problems for differential systems with distributed parameters on the graph, which
  have interesting analogies with multi-phase problems of multidimensional hydrodynamics.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: differential-difference system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: conjugate system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: oriented graph
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: optimal point control
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Point control of a differential-difference system with distributed parameters on the graph
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 277-286.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/33251/1/277-286.pdf
resources.format: Adobe PDF
resources.size: 363,78 kB