Stability of Uncertain Systems with Hysteresis Nonlinearities
(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
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- author
- Jönsson, Ulf
- organization
- publishing date
- 1998
- 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}}, }