Skip to main content
SpringerLink
Log in

On the control of lyapunov exponents of linear systems in the nondegenerate case

  • Ordinary Differential Equations
  • Published:
Differential Equations Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bylov, B.F., Vinograd, R.E., Grobman, D.M., and Nemytskii, V.V., Teoriya pokazatelei Lyapunova i ee prilozheniya k voprosam ustoichivosti (Theory of Lyapunov Eponents and Its Application to Stability Problems), Moscow: Nauka, 1966.

    Google Scholar 

  2. Izobov, N.A., Itogi Nauki Tekh. Ser. Mat. Anal., 1974, vol. 12, pp. 71–146.

    Google Scholar 

  3. Wonham, M., Linear Multivariable Control: A Geometric Approach, New York: Springer-Verlag, 1979. Translated under the title Lineinye mnogomernye sistemy upravleniya: geometricheskii podkhod, Moscow: Nauka, 1980.

    MATH  Google Scholar 

  4. Smirnov, E.Ya., Stabilizatsiya programmnykh dvizhenii (Stabilization of Program Motions), St. Petersburg, 1997.

  5. Gaishun, I.V., Vvedenie v teoriyu lineinykh nestatsionarnykh sistem (Introduction to the Theory of Linear Nonautonomous Systems), Minsk: Inst. Mat., 1999.

    Google Scholar 

  6. Tonkov, E.L., Differ. Uravn., 1995, vol. 31, no. 10, pp. 1682–1686.

    Google Scholar 

  7. Tonkov, E.L., Differ. Uravn., 1979, vol. 15, no. 10, pp. 1804–1813.

    MATH  Google Scholar 

  8. Kalman, R.E., Bol. Soc. Mat. Mexicana, 1960, vol. 5, no. 1, pp. 102–119.

    Google Scholar 

  9. Popova, S.N. and Tonkov, E.L., Differ. Uravn., 1997, vol. 33, no. 2, pp. 226–235.

    MATH  Google Scholar 

  10. Zaitsev, V.A. and Tonkov, E.L., Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 2 (441), pp. 60–67.

  11. Makarov, E.K. and Popova, S.N., Differ. Uravn., 1999, vol. 35, no. 1, pp. 97–106.

    MATH  Google Scholar 

  12. Popova, S.N., Differ. Uravn., 2003, vol. 39, no. 12, pp. 1627–1636.

    Google Scholar 

  13. Popova, S.N., Differ. Uravn., 2004, vol. 40, no. 1, pp. 41–46.

    Google Scholar 

  14. Horn, R.A. and Johnson, C.R., Matrix Analysis, Cambridge: Cambridge Univ. Press, 1985. Translated under the title Matrichnyi analiz, Moscow: Mir, 1989.

    MATH  Google Scholar 

  15. Demidovich, B.P., Lektsii po matematicheskoi teorii ustoichivosti (Lectures on Mathematical Theory of Stability), Moscow: Moscow Gos. Univ., 1998.

    Google Scholar 

  16. Akilov, G.P., Makarov, B.M., and Khavin, V.P., Elementarnoe vvedenie v teoriyu integrala (An Elementary Introduction to Integral Theory), Leningrad: Leningrad Gos. Univ., 1969.

    Google Scholar 

  17. Makarov, E.K., Differ. Uravn., 1998, vol. 34, no. 10, pp. 1322–1331.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences, Minsk, Belarus

    A. A. Kozlov & E. K. Makarov

Authors
  1. A. A. Kozlov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. K. Makarov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © A.A. Kozlov, E.K. Makarov, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 5, pp. 621–627.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kozlov, A.A., Makarov, E.K. On the control of lyapunov exponents of linear systems in the nondegenerate case. Diff Equat 43, 636–642 (2007). https://doi.org/10.1134/S0012266107050072

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0012266107050072

Keywords

Search

Navigation