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Ukrainian Mathematical Journal

, Volume 49, Issue 10, pp 1607–1609 | Cite as

Optimization of solutions of a linear control system

  • K. G. Valeev
  • A. L. Lapshin
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Abstract

We suggest a new method for optimizing solutions of a linear control system, which is based on the solution of the Lyapunov matrix equation.

Keywords

Explicit Form Difference Equation Lyapunov Function Stochastic Control Random Coefficient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Yu. P. Petrov, Synthesis of Optimal Control Systems for Incompletely Known Perturbation Forces [in Russian], Leningrad University, Leningrad (1987).Google Scholar
  2. 2.
    K. G. Valeev and G. S. Finin, Construction of the Lyapunov Functions [in Russian], Naukova Dumka, Kiev (1981).Google Scholar
  3. 3.
    K. J. Åström, Introduction to Stochastic Control Theory, Academic Press, New York (1970).MATHGoogle Scholar
  4. 4.
    K. G. Valeev, O. L. Karelova, and V. I. Gorelov, Optimization of Linear Systems with Random Coefficients [in Russian], Russian University of Friendship of Peoples, Moscow (1996).Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • K. G. Valeev
  • A. L. Lapshin

There are no affiliations available

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