Skip to main content
SpringerLink
Log in

Approximate solution of a class of optimal control problems in domains of arbitrary form

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

A combination of both fictitious domain and net methods is used for solution of optimal-control problems for elliptic systems. The proposed difference scheme has an order of accuracy ofO(h 1/2) in the net norm L2.

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. J.-L. Lions, Optimal Control of Systems Governed by Partial Differential Equations [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  2. H. Gajewski, K. Gröger, and K. Zacharias, Nonlinear Operator Equations and Operator Differential Equations [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  3. O. A. Ladyzhenskaya and N. N. Ural’tseva, Linear and Quasilinear Equations of Elliptic Type [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  4. O. V. Besov, V. P. Il’in, and S. M. NikoFskii, Integral Representations of Functions and Embedding Theorems [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  5. O. A. Ladyzhenskaya, Boundary-Value Problems of Mathematical Physics [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  6. V. V. Skopetskii, S. I. Lyashko, and S. A. Voitsekhovskii, “An approximate solution of the problem of optimal control over elliptic systems in domains of arbitrary form,” Kibern. Sist. Anal., No. 6, 3–8 (1999).

Download references

Author information

Authors and Affiliations

  1. Taras Shevchenko University, Kiev, Ukraine

    I. I. Lyashko, S. I. Lyashko & S. A. Voitsekhovskii

Authors
  1. I. I. Lyashko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. I. Lyashko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. A. Voitsekhovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 138–146, January–February, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lyashko, I.I., Lyashko, S.I. & Voitsekhovskii, S.A. Approximate solution of a class of optimal control problems in domains of arbitrary form. Cybern Syst Anal 36, 108–117 (2000). https://doi.org/10.1007/BF02733306

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02733306

Keywords

Search

Navigation