Skip to main content
SpringerLink
Log in

Optimizing the results of pseudo-inverse simulation of the dynamics of space-time distributed processes

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

The analysis of root-mean-square simulation of the initial boundary-value problems of the dynamics of distributed-parameter systems is continued. The authors formulate and solve minimization problems for the simulation errors by optimizing observations of the initial and boundary conditions and by selecting reference points for simulation functions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. V. A. Stoyan, “An approach to the analysis of initial and boundary problems of mathematical physics,” Probl. Upravl. Avtom., No. 1, 79–86 (1998).

  2. V. V. Skopetskii V. A. Stoyan Yu. G. Krivonos (2001) Mathematical Simulation of Direct and Inverse Dynamic Problems for Distributed-Parameter Systems Naukova Dumka Kiev

    Google Scholar 

  3. V. A. Stoyan (2004) Simulation and Identification of the Dynamics of Distributed-Parameter Systems VPTS Kyiv. Univ. Kiev

    Google Scholar 

  4. V. V. Skopetskii, V. A. Stoyan, and T. Yu. Blagoveshchens’ka, “Construction and analysis of general solutions to the mass and moisture transfer problem in a bounded space-time domain,” Dop. NANU, No. 9, 96–102 (2001).

  5. V. V. Skopetskii V. A. Stoyan T. Yu. Blagoveshchens’ka (2001) ArticleTitleMathematical simulation of space-time ecological processes Komp. Matem. Optymiz. Obchysl. 2 403–410

    Google Scholar 

  6. V. A. Stoyan and S. D. Voloshchuk, “Optimization problems in simulation of pointwise-controlled distributed-parameter dynamic systems,” Probl. Upravl. Inform., No. 4, 53–66 (2003).

  7. S. D. Voloshchuk and V. A. Stoyan, “Simulation and optimization of pointwise-observable distributed-parameter dynamic systems,” Zhurn. Obchysl. Prykl. Matem., No. 2(89), 13–25 (2003).

  8. V. A. Stoyan, “Constructing the Green functions for distributed-parameter systems,” Zhurn. Obchysl. Prykl. Matem., No. 1(83), 108–111 (1998).

  9. N. F. Kirichenko and V. A. Stoyan, “Analytical representation of matrix and integral linear transformations,” Kibern. Sist. Analiz, No. 3, 90–104 (1998).

  10. A. F. Gantmakher (1967) The Theory of Matrices Nauka Moscow

    Google Scholar 

  11. N. F. Kirichenko, “Pseudoinversion and recurrence of matrices in simulation and control problems,” Probl. Upravl. Inform., No. 1, 114–127 (1995).

Download references

Author information

Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    V. V. Skopetskii & Yu. G. Krivonos

  2. T. G. Shevchenko National University, Kiev, Ukraine

    V. A. Stoyan

Authors
  1. V. V. Skopetskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Stoyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu. G. Krivonos
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 45–57, September–October 2004.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Skopetskii, V.V., Stoyan, V.A. & Krivonos, Y.G. Optimizing the results of pseudo-inverse simulation of the dynamics of space-time distributed processes. Cybern Syst Anal 40, 665–677 (2004). https://doi.org/10.1007/s10559-005-0004-0

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-005-0004-0

Keywords

Search

Navigation