Speciality:
01.02.01 (Theoretical mechanics)
Birth date:
22.09.1946
Keywords: 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.
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.
