Skip to main content
Log in

Total variation of optimal control in linear systems

  • 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, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes, Pergamon (1964).

  2. J. Sztajnic, “Necessary conditions for existence of extremum for control with bounded variation,” Bull. Soc. Sci. Let. Lodz,28, No. 12, 1–12 (1978).

    Google Scholar 

  3. L. S. Pontryagin, Ordinary Differential Equations, Pergamon (1964).

  4. R. T. Rockefellar, Convex Analysis, Princeton Univ. Press (1970).

  5. V. G. Boltyanskii, “A linear problem of optimal control,” Differents. Uravn.,5, No. 5, 783–799 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 31, No. 5, pp. 761–772, May, 1982.

In conclusion, the author thanks K. I. Oskolkov for setting the problem and for his constant support in writing this article.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Silin, D.B. Total variation of optimal control in linear systems. Mathematical Notes of the Academy of Sciences of the USSR 31, 385–390 (1982). https://doi.org/10.1007/BF01145718

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01145718

Keywords

Navigation