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On the global controllability of lyapunov exponents of linear systems

  • Ordinary Differential Equations
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References

  1. Kalman, R.E., Boletin de la Sociedad Matematika Mexicana, 1960, vol. 5, no. 1, pp. 102–119.

    MathSciNet  Google Scholar 

  2. Lyapunov, A.M., in Sobr. soch. (Collected Papers), Moscow: Akad. Nauk SSSR, 1956, vol. 2.

    Google Scholar 

  3. 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 Application to Problems of Stability), Moscow: Nauka, 1966.

    Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  5. Makarov, E.K. and Popova, S.N., Differ. Uravn., 2003, vol. 39, no. 2, pp. 217–226.

    MathSciNet  Google Scholar 

  6. Popova, S.N., Differ. Uravn., 2003, vol. 39, no. 11, pp. 1578–1579.

    MathSciNet  Google Scholar 

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

    MathSciNet  Google Scholar 

  8. Tonkov, E.L., A Remark on the Theory of Linear Control Systems, Doctoral (Phys.-Math.) Dissertation, Sverdlovsk, 1983.

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

    MathSciNet  Google Scholar 

  10. 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 

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

    MathSciNet  Google Scholar 

  12. Millionshchikov, V.M., Mat. Zametki, 1968, vol. 4, no. 2, pp. 173–180.

    MathSciNet  Google Scholar 

  13. Izobov, N.A., Dokl. Akad. Nauk Belarusi, 1982, vol. 26, no. 1, pp. 5–8.

    MathSciNet  Google Scholar 

  14. Nurmatov, A.M., Differ. Uravn., 1987, vol. 23, no. 5, pp. 814–818.

    MathSciNet  Google Scholar 

  15. Nemytskii, V.V. and Stepanov, V.V., Kachestvennaya teoriya differentsial’nykh uravnenii (Qualitative Theory of Differential Equations), Moscow: OGIZ, 1949.

    Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Udmurt State University, Izhevsk, Russia

    S. N. Popova

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  1. S. N. Popova
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Original Russian Text © S.N. Popova, 2007, published in Differentsial’nye Uravneniya, 2007, Vol. 43, No. 8, pp. 1048–1054.

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Popova, S.N. On the global controllability of lyapunov exponents of linear systems. Diff Equat 43, 1072–1078 (2007). https://doi.org/10.1134/S0012266107080058

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  • DOI: https://doi.org/10.1134/S0012266107080058

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