Automatica, volume 46, issue 11, pages 1911-1915
Stability analysis for linear systems with input backlash through sufficient LMI conditions
1
Laboratory for analysis and architecture of systems
Publication type: Journal Article
Publication date: 2010-11-01
Electrical and Electronic Engineering
Control and Systems Engineering
Abstract
This paper addresses the problem of stability analysis for a given class of nonlinear systems resulting from the connection of a linear system with an isolated backlash operator. Constructive conditions based on LMIs to ensure closed-loop stability are proposed by using some suitable Lyapunov functionals with quadratic terms and Lure type terms, and generalized sector conditions. Additionally, the boundary of the associated set of all the admissible equilibrium points is precisely defined.
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GOST
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Tarbouriech S., Prieur C., Queinnec I. Stability analysis for linear systems with input backlash through sufficient LMI conditions // Automatica. 2010. Vol. 46. No. 11. pp. 1911-1915.
GOST all authors (up to 50)
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Tarbouriech S., Prieur C., Queinnec I. Stability analysis for linear systems with input backlash through sufficient LMI conditions // Automatica. 2010. Vol. 46. No. 11. pp. 1911-1915.
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RIS
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TY - JOUR
DO - 10.1016/j.automatica.2010.07.005
UR - https://doi.org/10.1016/j.automatica.2010.07.005
TI - Stability analysis for linear systems with input backlash through sufficient LMI conditions
T2 - Automatica
AU - Tarbouriech, S.
AU - Prieur, Christophe
AU - Queinnec, Isabelle
PY - 2010
DA - 2010/11/01
PB - Elsevier
SP - 1911-1915
IS - 11
VL - 46
SN - 0005-1098
SN - 1873-2836
ER -
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BibTex (up to 50 authors)
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@article{2010_Tarbouriech,
author = {S. Tarbouriech and Christophe Prieur and Isabelle Queinnec},
title = {Stability analysis for linear systems with input backlash through sufficient LMI conditions},
journal = {Automatica},
year = {2010},
volume = {46},
publisher = {Elsevier},
month = {nov},
url = {https://doi.org/10.1016/j.automatica.2010.07.005},
number = {11},
pages = {1911--1915},
doi = {10.1016/j.automatica.2010.07.005}
}
Cite this
MLA
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Tarbouriech, S., et al. “Stability analysis for linear systems with input backlash through sufficient LMI conditions.” Automatica, vol. 46, no. 11, Nov. 2010, pp. 1911-1915. https://doi.org/10.1016/j.automatica.2010.07.005.