References
A. F. Filippov, Differential Equations with Discontinuous Right-Hand Sides (Nauka, Moscow, 1985) [in Russian].
M. A. Aizerman, Usp. Mat. Nauk 4(4), 186–188 (1949).
R. E. Kalman, Trans. ASME 79(3), 553–566 (1957).
G. A. Leonov, Dokl. Math. 79, 144–146 (2009).
G. A. Leonov, Avtom. Telemekh. 5, 65–75 (2009).
G. A. Leonov, Avtom. Telemekh. 7, 37–49 (2009).
G. A. Leonov, Prikl. Mat. Mekh. 74(1), 37–73 (2010).
G. A. Leonov, V. I. Vagaitsev, and N. V. Kuznetsov, Dokl. Math. 82, 663–666 (2010).
V. I. Vagaitsev, N. V. Kuznetsov, and G. A. Leonov, Vestn. S.-Peterburg. Univ., Mat. Mekh. Astron., No. 4, 62–76 (2010).
G. A. Leonov, V. O. Bragin, and N. V. Kuznetsov, Dokl. Math. 82, 540–542 (2010).
G. A. Leonov, V. O. Bragin, and N. V. Kuznetsov, Vestn. S.-Peterburg. Univ., Mat. Mekh. Astron., No. 3, 31–47 (2010).
N. E. Barabanov, Sib. Mat. Zh. 29(3), 3–11 (1988).
J. Bernat and J. Llibre, Dyn. Contin. Discrete Impuls. Syst. 2, 337–379 (1996).
Author information
Authors and Affiliations
Corresponding author
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.
Rights and permissions
About this article
Cite this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064562411040120