Skip to main content
Log in

Controllability and speed of the process described by a parabolic equation with bounded control

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

Addressing the problems of controllability and speed of the processes described by a parabolic equation with distributed control in a given set, we propose some methods for solving these problems by minimizing sequences.

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. Aisagaliev S. A., “Controllability of some system of differential equations,” Differentsial’nye Uravneniya, 27, No. 9, 1476–1486 (1991).

    MathSciNet  Google Scholar 

  2. Aisagaliev S. A., “A general solution to one class of integral equations,” Mat. Zh. (Inst. Mat. Kazakhstan), 5, No. 4, 7–13 (2005).

    MathSciNet  Google Scholar 

  3. Aisagaliev S. A. and Aisagaliev T. S., The Methods for Solving Boundary Value Problems, Kazakhstan Univ., Almaty (2002).

    Google Scholar 

  4. Egorov A. I., Optimal Control of the Heat and Diffusion Processes [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  5. Butkovskiĭ A. G., Control of Systems with Distributed Parameters [in Russian], Nauka, Moscow (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. A. Aisagaliev.

Additional information

Original Russian Text Copyright © 2012 Aisagaliev S. A. and Belogurov A. P.

__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 1, pp. 20–37, January–February, 2012.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aisagaliev, S.A., Belogurov, A.P. Controllability and speed of the process described by a parabolic equation with bounded control. Sib Math J 53, 13–28 (2012). https://doi.org/10.1134/S0037446612010028

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0037446612010028

Keywords

Navigation