Automatica, volume 46, issue 11, pages 1911-1915

Stability analysis for linear systems with input backlash through sufficient LMI conditions

S. Tarbouriech ¹

Christophe Prieur ¹

Isabelle Queinnec ¹

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Laboratory for analysis and architecture of systems

Publication type: Journal Article

Publication date: 2010-11-01

Elsevier

Journal: Automatica

scimago Q1

SJR: 3.502

CiteScore: 10.7

Impact factor: 4.8

ISSN: 00051098, 18732836

DOI: 10.1016/j.automatica.2010.07.005

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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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CITATIONS

33 Total citations

2 Recent citations

8.22 Field Citation Ratio

n/a Relative Citation Ratio

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GOST Copy

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) Copy

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.

RIS |

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RIS Copy

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 -

BibTex |

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BibTex (up to 50 authors) Copy

@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}

}

MLA

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MLA Copy

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.

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Publisher

Elsevier

Journal

Automatica

scimago Q1

SJR

3.502

CiteScore

10.7

Impact factor

4.8

ISSN

00051098 (Print)

18732836