Conditions for the Existence of a Limit Cycle in a Class of Systems with Hysteresis Nonlinearity
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:
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.
References:
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- Zvyagintseva T. E. [Global stability of automatic control systems with hysteresis nonlinearity. ] Differencial'nie uravnenia i processy upravlenia, 2013, no. 4 (In Russ. ) Available at: http://www.math.spbu.ru/diffjournal/pdf/zvyagintseva.pdf
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