title: Differential game with a “life line” under the Grönwall constraint on controls
metadata.name: dc.contributor.author
metadata.value: Samatov, Bahrom T.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Akbarov, Adakhambek Kh.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-08-19T21:16:50Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-08-19T21:16:50Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Samatov B. T., Akbarov A. Kh. Differential game with a “life line” under the Grönwall constraint on controls. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2024, vol. 20, iss. 2, pp. 265–280. https://doi.org/10.21638/spbu10.2024.211
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu10.2024.211
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/47272
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We study the pursuit-evasion and “life line” differential games of one pursuer and one evader,
  whose controls are subjected to constraints given by Grönwall type inequalities. It is said
  that an evader has been captured by a pursuer if the state of the pursuer coincides with the
  state of the evader. One of the main aims of this work is to formulate optimal strategies of
  players and define guaranteed capture time. Here a strategy of parallel convergence (briefly,
  Π-strategy) for the pursuer is suggested and proved that it is optimal for pursuit. To solve
  the “life line” problem we will investigate dynamics of the attainability domain of players by
  Petrosyan method, that is for the attainability domain, conditions of embedding in respect to
  time are given. This work grows and maintains the works of Isaacs, Petrosyan, Pshenichnyi,
  Azamov and other researchers.
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 20; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: differential game
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: pursuer
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: evader
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Grönwall constraint
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: strategy
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: parallel pursuit
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: attainability domain
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: “life line” game
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the Apollonius sphere
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Differential game with a “life line” under the Grönwall constraint on controls
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: vestnik_spbu10_2024_265.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/47272/1/vestnik_spbu10_2024_265.pdf
resources.format: Adobe PDF
resources.size: 418,46 kB