Skip to main content
Log in

A method of determination of the solution of Lyapunov's equation with a prescribed spectrum

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

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. N. A. Pustovoitov, “A study of the matrix equations of Lyapunov's second method,” in: Dynamical Systems and Questions on the Stability of the Solutions of Differential Equations [in Russian], Izd. Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1973), pp. 95–103.

    Google Scholar 

  2. R. A. Sarybekov, “Extremal quadratic Lyapunov functions of systems of second-order equations,” Sib. Mat. Zh.,18, No. 5, 1159–1167 (1977).

    Google Scholar 

  3. F. R. Gantmakher (Gantmacher), The Theory of Matrices, Vols. I and II, Chelsea, New York (1959).

    Google Scholar 

  4. N. G. Chetaev (Chetayev), The Stability of Motion, Pergamon Press, New York (1961).

    Google Scholar 

  5. V. S. Charin, Linear Transformations and Convex Sets [in Russian], Vishcha Shkola, Kiev (1978).

    Google Scholar 

  6. Yu. A. Komarov and D. Ya. Khusainov, “Certain remarks on Lyapunov's extremal function for linear systems,” Ukr. Mat. Zh.,35, No. 6, 750–753 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 528–531, July–August, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khusainov, D.Y., Yun'kova, E.A. A method of determination of the solution of Lyapunov's equation with a prescribed spectrum. Ukr Math J 36, 435–438 (1984). https://doi.org/10.1007/BF01066572

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01066572

Keywords

Navigation