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Optimization of solutions of a linear control system

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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.

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References

  1. Yu. P. Petrov, Synthesis of Optimal Control Systems for Incompletely Known Perturbation Forces [in Russian], Leningrad University, Leningrad (1987).

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  2. K. G. Valeev and G. S. Finin, Construction of the Lyapunov Functions [in Russian], Naukova Dumka, Kiev (1981).

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  3. K. J. Åström, Introduction to Stochastic Control Theory, Academic Press, New York (1970).

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  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).

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Authors
  1. K. G. Valeev
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  2. A. L. Lapshin
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Additional information

Economic Institute, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 10, pp. 1429–1431, October, 1997.

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Valeev, K.G., Lapshin, A.L. Optimization of solutions of a linear control system. Ukr Math J 49, 1607–1609 (1997). https://doi.org/10.1007/BF02487445

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  • DOI: https://doi.org/10.1007/BF02487445

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