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ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Conditions for the Limit Cycle Existence in a System with Hysteresis

Author(s):

Tatiana Zviagintceva

Faculty of Mathematics and Mechanics
St. Petersburg State University
Universitetsky prospekt, 28,
Peterhof, St. Petersburg,
198504 Russia

zv_tatiana@mail.ru

Abstract:

In this paper a two-dimensional automatic control system with a single nonlinear hysteresis element of a rather general form is considered. The phase space of the system is described. Under certain limitations on the right part of a system the conditions for the existence and absence of a limit cycle are obtained via Lyapunov's second method.

Keywords

References:

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