dynamical systems; stability of motion; integro-differential Volterra equations; oscillations of dynamical systems; synchronization of distributed systems; frequency-domain criteria.
Subject:
General methods for investigation of global behavior of distributed dynamical systems which can be described by means of Volterra integral equations are elaborated. These methods give the opportunity to obtain new criteria of dichotomy, Lagrange stability, global asymptotic stability, instability. The criteria are applied to a number of concrete mechanical, electromechanical, biological systems.
Biography
Graduated from Faculty of Mathematics and Mechanics of Leningrad State University in 1969 (department of theoretical mechanics). Ph.D. thesis was defended in 1976. D.Sci. thesis was defended in 2000. A list of my works contains 90 titles.
Main publications:
Leonov G. A., Ponomarenko D. V., Smirnova V. B. Frequency-Domain Methods for Nonlinear Analysis. Theory and Applications. 1996. World Scientific, Singapore, 498 pp.
Leonov G. A., Reitmann V., Smirnova V. B. Non-local methods for pendulum-like feedback systems. 1992. Teubner Verlagsgesellschaft, Stuttgart, 242 pp.
N. E. Barabanov, A. Kh. Gelig, G. A. Leonov, A. L. Likhtarnikov, A. S. Matveev, V. B. Smirnova, A. L. Fradkov, “The Frequency Theorem (Kalman–Yakubovich Lemma) in Control Theory”, Avtomat. i Telemekh., 1996, no. 10, 3–40; Autom. Remote Control, 57:10 (1996), 1377–1407
G. A. Leonov, V. B. Smirnova, “Stability in the large of integro-differential equations of nondirect control systems”, Differ. Uravn., 24:3 (1988), 500–508; Differ. Equ., 24:3 (1988), 359–366
1980
3.
G. A. Leonov, V. B. Smirnova, “The reduction method for integro-differential equations”, Sibirsk. Mat. Zh., 21:4 (1980), 112–124; Siberian Math. J., 21:4 (1980), 565–575
G. A. Leonov, V. B. Smirnova, “Asymptotic solutions of a system of integro-differential equations with periodic nonlinear functions”, Sibirsk. Mat. Zh., 19:6 (1978), 1406–1412; Siberian Math. J., 19:6 (1978), 992–997
1973
5.
V. B. Smirnova, “The asymptotic behavior of the solutions of a certain problem with a discontinuous nonlinearity”, Differ. Uravn., 9:1 (1973), 149–157
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