title: Method for solving an optimal control problem in the Mayer form with a quasidifferentiable functional in the presence of phase constraints
metadata.name: dc.contributor.author
metadata.value: Fominyh, Alexander V.
metadata.name: dc.contributor.author
metadata.value: Karelin, Vladimir V.
metadata.name: dc.contributor.author
metadata.value: Polyakova, Lyudmila N.
metadata.name: dc.date.accessioned
metadata.value: 2023-06-15T11:10:56Z
metadata.name: dc.date.accessioned
metadata.value: 2023-06-15T16:16:03Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-06-15T11:10:56Z
metadata.name: dc.date.available
metadata.value: 2023-06-15T16:16:03Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-03
metadata.name: dc.identifier.citation
metadata.value: Fominyh A. V., Karelin V. V., Polyakova L. N. Method for solving an optimal control problem in the Mayer form with a quasidifferentiable functional in the presence of phase constraints. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 1, pp. 120–134.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2023.110
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41579
metadata.name: dc.description.abstract
metadata.value: The article considers the problem of optimal control of an object described by a system of ordinary differential equations with a continuously differentiable right-hand side and with a nonsmooth (but only a quasidifferentiable) quality functional. The problem is in the Mayer form with either free or partially fixed right end. Piecewise-continuous and bounded controls are supposed to be admissible if they lie in some parallelepiped at any moment of time. The phase coordinates and controls are also subject to mixed pointwise constraints. Phase constraints are taken into account by introducing new variables with known boundary conditions into the system. The standard discretization of the original system and the parametrization of the control are carried out, theorems are given on the convergence of the solution of the discrete system obtained to the desired solution of the continuous problem. Further, in order to study the resulting discrete system, the apparatus of quasidifferential calculus is used and the method of the quasidifferential descent is applied. Examples illustrating the operation of the algorithm are given.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The main results of the paper (items 3–6) are obtained by Alexander V. Fominyh, the work is supported by the Russian Science Foundation grant N 21-71-00021.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
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 1
metadata.name: dc.subject
metadata.value: optimal control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Mayer problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nonsmooth optimization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: quasidifferential
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: phase constraints
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Method for solving an optimal control problem in the Mayer form with a quasidifferentiable functional in the presence of phase constraints
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 16106-Текст статьи-54767-1-10-20230530.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41579/2/16106-%d0%a2%d0%b5%d0%ba%d1%81%d1%82%20%d1%81%d1%82%d0%b0%d1%82%d1%8c%d0%b8-54767-1-10-20230530.pdf
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