Skip to main content
Log in

Approximation of the attainability set for a controlled process

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

Literature cited

  1. L. S. Pontryagin et al., Mathematical Theory of Optimal Processes [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  2. E. B. Lee and L. Markus, Foundations of Optimal Control Theory, Wiley, New York (1967).

    Google Scholar 

  3. V. I. Blagodat-skikh, Linear Theory of Optimal Control [in Russian], Moscow State Univ. Moscow (1978).

    Google Scholar 

  4. A. V. Lotov, “On the convergence of the methods of numerical approximation of attainability sets for linear differential systems with convex phase constraints,” Zh. Vychisl. Mat. Mat. Fiz.,19, No. 1, 44–55 (1979).

    Google Scholar 

  5. S. Chelikovsky, “The attainability set for bilinear controlled systems,” Vestn. Mosk. Gos. Univ. Ser. 15, Vychisl. Mat. Kibern., No. 4, 52–57 (1985).

    Google Scholar 

  6. A. F. Filippov, “On certain questions of the theory of optimal control,” Vestn. Mosk. Gos. Univ., Ser. Mat., Mekh., Astron., Fiz., Khim., No. 2, 25–32 (1959).

    Google Scholar 

  7. N. N. Krasovskii and A. I. Subbotin, Positional Differential Games [in Russian], Nauka, Moscow (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 41, No. 1, pp. 71–76, January, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nikol'skii, M.S. Approximation of the attainability set for a controlled process. Mathematical Notes of the Academy of Sciences of the USSR 41, 44–48 (1987). https://doi.org/10.1007/BF01159528

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01159528

Keywords

Navigation