title: A method for solving differential inclusions with fixed right end
metadata.name: dc.contributor.author
metadata.value: Fominyh, Alexander V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-01-16T15:47:09Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-01-16T15:47:09Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Fominyh A. V. A method for solving differential inclusions with fixed right end. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2018, vol. 14, iss. 4, pp. 302–315.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11702/spbu10.2018.403
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15243
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the paper, we study a differential inclusion with a given continuous convex multivalued
  mapping. For a given finite time interval, it is required to construct a solution of the
  differential inclusion, that satisfies the given initial condition or both the initial and final
  conditions. With the help of support functions, the original problem is reduced to the problem
  of global minimization of some functions in the space of piecewise continuous functions. In
  the case of continuous differentiability of the support function of a multivalued mapping
  with respect to the phase variables, this functional is Gateaux differentiable. In the paper,
  Gateaux gradient is found, necessary and (in some particular cases) sufficient conditions for
  the global minimum of the given functions are obtained. On the basis of these conditions, the
  method of steepest descent is applied to the original problem. Numerical examples illustrate
  the method realization.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The work is supported by Russian Found of Fundamental Research (project N 18-31-00014 mol-a).
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 14; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: differential inclusions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: support function
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the steepest descent method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: A method for solving differential inclusions with fixed right end
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03-Fominykh.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15243/1/03-Fominykh.pdf
resources.format: Adobe PDF
resources.size: 384,23 kB