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Stability of Uncertain Systems with Hysteresis Nonlinearities

Jönsson, Ulf (1998) In International Journal of Robust and Nonlinear Control 8(3). p.279-293
Abstract
Stability of systems with hysteresis nonlinearities, parametric uncertainty and finite dimensional unmodelled dynamics is considered. Conditions for exponential decay of the signals in the system to an equilibrium position are given. The equilibrium is generally not unique. The stability condition is given in terms of a frequency domain inequality, which involves the transfer function of the nominal system and a multiplier, The search for a suitable multiplier can be performed by use of convex optimization in terms of linear matrix inequalities. A simple example is given that illustrates our result
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
International Journal of Robust and Nonlinear Control
volume
8
issue
3
pages
279 - 293
publisher
John Wiley & Sons Inc.
external identifiers
  • scopus:0032028310
ISSN
1099-1239
DOI
10.1002/(SICI)1099-1239(199803)8:3<279::AID-RNC314>3.0.CO;2-N
language
English
LU publication?
no
id
44f2d79b-c9f2-43c3-8e08-8a6ea20b2a1f
date added to LUP
2018-12-16 15:03:29
date last changed
2023-06-12 04:01:51
@article{44f2d79b-c9f2-43c3-8e08-8a6ea20b2a1f,
  abstract     = {{Stability of systems with hysteresis nonlinearities, parametric uncertainty and finite dimensional unmodelled dynamics is considered. Conditions for exponential decay of the signals in the system to an equilibrium position are given. The equilibrium is generally not unique. The stability condition is given in terms of a frequency domain inequality, which involves the transfer function of the nominal system and a multiplier, The search for a suitable multiplier can be performed by use of convex optimization in terms of linear matrix inequalities. A simple example is given that illustrates our result}},
  author       = {{Jönsson, Ulf}},
  issn         = {{1099-1239}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{279--293}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{International Journal of Robust and Nonlinear Control}},
  title        = {{Stability of Uncertain Systems with Hysteresis Nonlinearities}},
  url          = {{http://dx.doi.org/10.1002/(SICI)1099-1239(199803)8:3<279::AID-RNC314>3.0.CO;2-N}},
  doi          = {{10.1002/(SICI)1099-1239(199803)8:3<279::AID-RNC314>3.0.CO;2-N}},
  volume       = {{8}},
  year         = {{1998}},
}