Absolute Stability of Control Systems 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:
The class of two-dimensional control systems with hysteresis nonlinearity is considered.
We assume that the nonlinearity is approximated by piecewise linear characteristics.
The phase space of such systems is a two-sheeted manifold with boundary.
The sheets are glued together along the transitional rays.
The definitions of global stability, global attracting set and absolute stability
for systems of this class are given.
The conditions of absolute stability are obtained by the comparison systems method and
formulated in terms of system coefficients.
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