Skip to main content
SpringerLink
Log in

Global Controllability of the Complete Set of Lyapunov Invariants of Periodic Systems

  • 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 Exponents and Its Applications to Stability Problems), Moscow, 1966.

  2. Lyapunov, A.M., Sobr.soch. (Collected Works), Moscow, 1956, vol. 2.

  3. Demidovich, B.P., Lektsii po matematicheskoi teorii ustoichivosti (Lectures on the Mathematical Theory of Stability), Moscow, 1967.

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

    Google Scholar 

  5. Bogdanov, Yu.S. and Mazanik, S.A., in Voprosy kachestvennoi teorii differentsial'nykh uravnenii (Problems of Qualitative Theory of Differential Equations), Novosibirsk, 1988, pp. 9–13.

  6. Izobov, N.A., Itogi Nauki i Tekhniki.Mat.Analiz, 1974, vol. 12, pp. 71–146.

    Google Scholar 

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

    Google Scholar 

  8. Brunovsky, P., J.of Differ.Equat., 1969, vol. 6, pp. 296–313.

    Google Scholar 

  9. Krasovskii, N.N., Prikl.Mat.Mekh., 1959, vol. 23, no. 4, pp. 625–639.

    Google Scholar 

  10. Kalman, R.E., Ho, Y.C., and Narendra, K.S., Contr.Differ.Equat., 1963, vol. 1, pp. 189–213.

    Google Scholar 

  11. Horn, R.A. and Johnson, C.R., Matrix Analysis, Cambridge: Cambridge University, 1985. Translated under the title Matrichnyi analiz, Moscow, 1989.

    Google Scholar 

  12. Beklemishev, D.V., Dopolnitel'nye glavy lineinoi algebry (Additional Chapters of Linear Algebra), Moscow, 1983.

  13. Kostrikin, A.I., Vvedenie v algebru (Introduction to Algebra), Moscow, 1977.

  14. Tonkov, E.L., Differents.Uravn., 1978, vol. 14, no. 9, pp. 1715–1717.

    Google Scholar 

  15. Popova, S.N., Problems of Control of Lyapunov Exponents, Cand.Sci. (Phys.Math ) Dissertation, Izhevsk, 1992.

  16. Makarov, E.K., Differents.Uravn., 1998, vol. 34, no. 10, pp. 1322–1331.

    Google Scholar 

  17. Millionshchikov, V.M., Differents.Uravn., 1967, vol. 3, no. 12, pp. 2127–2134.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Mathematics and Computer Science, Udmurt State University, Izhevsk, Russia

    S. N. Popova

Authors
  1. S. N. Popova
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Popova, S.N. Global Controllability of the Complete Set of Lyapunov Invariants of Periodic Systems. Differential Equations 39, 1713–1723 (2003). https://doi.org/10.1023/B:DIEQ.0000023551.43484.e5

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:DIEQ.0000023551.43484.e5

Keywords

Search

Navigation