Global Stability of Control Systems with Hysteresis
Author(s):
Tatiana Evgenievna Zviaginzeva
Department of Differential Equations
198504, St.Petersburg, Petrodvoretz, Universitetski pr., 28
Faculty of Mathematics and Mechanics
St.Petersburg state university
zv_tatiana@mail.ru
Abstract:
The definition of global stability of two-dimensional systems
with one hysteresis nonlinearity is given. Global attracting set is defined.
The criterion of global stability of a system with piecewise linear characteristic is stated.
References:
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- Lenov G. A. Strannie attractori i klassicheskaia teoria ustoichvosti dvigenia. SPb. Izd-vo SPbGU. 2004. 143 p
- Zviaginzeva T. E. Kriterii suschestvovania predelnogo tsikla v dvumernoi sisteme s gisterezisom // Vestnik S. Peterburg/un-ta. Seria 1. vip. 1. 2012. p. 18-26