Skip to main content
SpringerLink
Log in

A certain problem in the optimal control of a system that is described by an elliptic differentiation equation

  • Published:
Cybernetics Aims and scope

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

Literature Cited

  1. A. Ya. Dubovitskii and A. A. Milyutin, “Extremum problems in the presence of constraints,” Zh. Vychisl. Mat. i Mat. Fiz.,5, No. 3 (1965).

  2. B. N. Pshenichnyi and É. I. Nenakhov, “Necessary conditions for the minimum in problems with operator constraints,” Kibernetika, No. 3 (1971).

  3. C. Virsan, “Necessary conditions for optimization problems with operational constraints,” SIAM J. Control,8, No. 4 (1970).

    Google Scholar 

  4. V. I. Arkin, “On the infinite-dimensioned analog of nonconvex-programming problems,” Kibernetika, No. 2 (1967).

  5. J. L. Lyons, Optimal Control Systems Described by Partial Differential Equations [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  6. G. Stampacchia, “Le problème de Dirichlet pour les èquations elliptiques du second ordre è coefficients discontinus,” Annales de l'Institut Fourier,15, No. 1 (1965).

    Google Scholar 

  7. M. Jacobs, “Remarks on some recent extensions of Fillipov's implicit functions lemma,” SIAM Journal on Control,5, No. 4 (1967).

    Google Scholar 

  8. A. D. Ioffe and V. M. Tikhomirov, “Duality of convex functions and extremal problems,” Usp. Matem. Nauk,23, No. 6 (1968).

    Google Scholar 

Download references

Authors
  1. V. N. Gorchakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Kibernetika, No. 3, pp. 101–103, May–June, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gorchakov, V.N. A certain problem in the optimal control of a system that is described by an elliptic differentiation equation. Cybern Syst Anal 10, 492–494 (1974). https://doi.org/10.1007/BF01068718

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01068718

Keywords

Search

Navigation