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

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

Conditions for the Existence of a Limit Cycle in a Class of Systems with Hysteresis Nonlinearity


Tatiana Zviagintceva

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


The class of two-dimensional control systems with hysteresis nonlinearity is considered. We assume that the nonlinearity does not satisfy the sectoral condition, and is piecewise linear approximated. The coefficient conditions for the existence of limit cycles are stated by the comparison systems method.


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