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Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems

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References

  1. A. F. Filippov, Differential Equations with Discontinuous Right-Hand Sides (Nauka, Moscow, 1985) [in Russian].

    Google Scholar 

  2. M. A. Aizerman, Usp. Mat. Nauk 4(4), 186–188 (1949).

    MathSciNet  Google Scholar 

  3. R. E. Kalman, Trans. ASME 79(3), 553–566 (1957).

    MathSciNet  Google Scholar 

  4. G. A. Leonov, Dokl. Math. 79, 144–146 (2009).

    Article  MathSciNet  Google Scholar 

  5. G. A. Leonov, Avtom. Telemekh. 5, 65–75 (2009).

    MathSciNet  Google Scholar 

  6. G. A. Leonov, Avtom. Telemekh. 7, 37–49 (2009).

    MathSciNet  Google Scholar 

  7. G. A. Leonov, Prikl. Mat. Mekh. 74(1), 37–73 (2010).

    MathSciNet  Google Scholar 

  8. G. A. Leonov, V. I. Vagaitsev, and N. V. Kuznetsov, Dokl. Math. 82, 663–666 (2010).

    Article  MATH  Google Scholar 

  9. V. I. Vagaitsev, N. V. Kuznetsov, and G. A. Leonov, Vestn. S.-Peterburg. Univ., Mat. Mekh. Astron., No. 4, 62–76 (2010).

  10. G. A. Leonov, V. O. Bragin, and N. V. Kuznetsov, Dokl. Math. 82, 540–542 (2010).

    Article  MATH  Google Scholar 

  11. G. A. Leonov, V. O. Bragin, and N. V. Kuznetsov, Vestn. S.-Peterburg. Univ., Mat. Mekh. Astron., No. 3, 31–47 (2010).

  12. N. E. Barabanov, Sib. Mat. Zh. 29(3), 3–11 (1988).

    MathSciNet  Google Scholar 

  13. J. Bernat and J. Llibre, Dyn. Contin. Discrete Impuls. Syst. 2, 337–379 (1996).

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Mathematics and Mechanics Faculty, St. Petersburg State University, Universitetskii pr. 28, Peterhof, St. Petersburg, 198504, Russia

    G. A. Leonov & N. V. Kuznetsov

  2. University of Jyväskylä, Jyväskylä, Finland

    N. V. Kuznetsov

Authors
  1. G. A. Leonov
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  2. N. V. Kuznetsov
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Correspondence to G. A. Leonov.

Additional information

Original Russian Text © G.A. Leonov, N.V. Kuznetsov, 2011, published in Doklady Akademii Nauk, 2011, Vol. 439, No. 2, pp. 167–173.

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Leonov, G.A., Kuznetsov, N.V. Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems. Dokl. Math. 84, 475–481 (2011). https://doi.org/10.1134/S1064562411040120

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