title: Assimilation of data in the imitative modeling of environmental processes by the method of minimizing corrective perturbations
metadata.name: dc.contributor.author
metadata.value: Topaj, Alexander G.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Mitrofanov, Evgeniy P.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-10-12T09:59:44Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-10-12T09:59:44Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Topaj A. G., Mitrofanov E. P. Assimilation of data in the imitative modeling of environmental processes by the method of minimizing corrective perturbations. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2017, vol. 13, iss. 3, pp. 326–338.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu10.2017.309
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/8517
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The on-line correction of the vector of a dynamic model state variable by direct or indirect
  measurements is a well-known problem of the theory of automatic control. It is called the
  problem of data assimilation. Ecological models require specific approaches to this problem
  in comparison to traditional methods used in hydrometeorology. The main difference is that
  there are only rare observations on a limited number of indirect characteristics. The paper
  presents an original approach to data assimilation for such cases. The main idea is inclusion
  an additional term to the initial system, which describes the random external influences that
  are not counted in the ideal model. Further, one can find a form of these perturbations that
  minimizes the weighted sum of their integrated power and the norm of deviations of the observed
  and theoretical characteristics at moments of measurement. Then the choice of weighting factor
  allows us for comparative confidence to be reflected between the theoretical model and actual
  measurements. Thus, the formal statement of the problem is written down as a problem of
  optimal control. Examples of application of the proposed method for several simple models are
  given. In the problem of the uniform motion of a material point, an analytical solution can be
  obtained which, nonetheless, yields rather interesting results. The problem of data assimilation
  for the Lotka—Volterra model has been solved numerically. It is shown that the proposed
  method of “minimal perturbation” leads to the least “traumatic” correction of the ideal model
  in comparison with the available alternative approaches; i. e., adaptive parameter identification
  or backdating adjustment of the initial state. Refs 7. Figs 2.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
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 13; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: assimilation of data
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: minimization of corrective disturbances
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ecology
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: simulation modeling
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Assimilation of data in the imitative modeling of environmental processes by the method of minimizing corrective perturbations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 09-Topazh.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/8517/1/09-Topazh.pdf
resources.format: Adobe PDF
resources.size: 344,64 kB