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

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

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:

  1. Brur H. V., Dymortie F., Van Strin, Takens F. Structuri v dinamike. Konechnomerhie determinirovannie sistemi. Moskva, Igevsk. Izd-vo instituta kompiuternich issledovanii. 2003. 336 p
  2. Lenov G. A. Strannie attractori i klassicheskaia teoria ustoichvosti dvigenia. SPb. Izd-vo SPbGU. 2004. 143 p
  3. 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

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