title: Optimal program control in the class of quadratic splines for linear systems
metadata.name: dc.contributor.author
metadata.value: Popkov, Alexander S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-01-19T14:01:07Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-01-19T14:01:07Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Popkov A. S. Optimal program control in the class of quadratic splines for linear systems. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 4, pp. 462–470.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2020.411
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/22461
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This article describes an algorithm for solving the optimal control problem in the case when
  the considered process is described by a linear system of ordinary differential equations. The
  initial and final states of the system are fixed and straight two-sided constraints for the control
  functions are defined. The purpose of optimization is to minimize the quadratic functional
  of control variables. The control is selected in the class of quadratic splines. There is some
  evolution of the method when control is selected in the class of piecewise constant functions.
  Conveniently, due to the addition/removal of constraints in knots, the control function can
  be piecewise continuous, continuous, or continuously differentiable. The solution algorithm
  consists in reducing the control problem to a convex mixed-integer quadratically-constrained
  programming problem, which could be solved by using well-known optimization methods that
  utilize special software.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The reported study was funded by the Russian Foundation for Basic Research (project N 19-31-
  90033).
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 16; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: optimal control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: differential equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: linear control system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: quadratic spline
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: mixed-integer quadratically-constrained programming
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Optimal program control in the class of quadratic splines for linear systems
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 462-470.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/22461/1/462-470.pdf
resources.format: Adobe PDF
resources.size: 292,67 kB