Skip to main content
Log in

Control over linear pulse systems

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

Rank conditions for control of linear pulse systems are established. The Pontryagin maximum principle is obtained in sufficient form. An example of control synthesis in a problem for linear pulse systems is given.

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.

Similar content being viewed by others

References

  1. Yu. K. Lando, “On normally solvable and controllable correspondences,”Differents. Uravn.,13, No. 11, 2070–2075 (1977).

    Google Scholar 

  2. Yu. K. Lando,Elements of the Mathematical Theory of Control over Motion [in Russian], Prosveshchenie, Moscow (1984).

    Google Scholar 

  3. N. V. Azbelev, V. P. Maksimov, and L. F. Rakhmatullina,Introduction to the Theory of Functional-Differential Equations [in Russian], Nauka, Moscow (1991).

    Google Scholar 

  4. A. M. Samoilenko and N. A. Perestyuk,Differential Equations with Pulse Action [in Russian], Vyshcha Shkola, Kiev (1987).

    Google Scholar 

  5. N. N. Krasovskii,Theory of Control over Motion [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  6. A. A. Aslanyan, “The necessary optimal conditions in the control problems of systems of differential equations with pulse action at fixed time moments,”Dokl. Akad. Nauk Uhr. SSR, Ser. A, No. 9, 58–61 (1982).

    Google Scholar 

  7. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko,Mathematical Theory of Optimal Processes [in Russian], Nauka, Moscow (1976).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 3, pp. 307–314, March, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akhmetov, M.U., Perestyuk, N.A. & Tleubergenova, M.A. Control over linear pulse systems. Ukr Math J 47, 360–368 (1995). https://doi.org/10.1007/BF01056297

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056297

Keywords

Navigation