Explicit stability conditions for time-discrete vector Lur'e-type systems

M. I. Gil; Rigoberto Medina

doi:10.1093/imamci/dni034

Explicit stability conditions for time-discrete vector Lur'e-type systems

M. I. Gil, Rigoberto Medina

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Non-linear discrete-time Lur'e-type systems are considered. Explicit stability conditions are suggested. They are formulated in terms of the determinants of characteristic polynomials. Moreover, an estimate for the region of attraction of the zero solution is derived.

Original language	English
Pages (from-to)	415-421
Number of pages	7
Journal	IMA Journal of Mathematical Control and Information
Volume	22
Issue number	4
DOIs	https://doi.org/10.1093/imamci/dni034
State	Published - 1 Dec 2005

Keywords

Non-linear discrete-time systems
Region of attraction
Stability

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Applied Mathematics

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10.1093/imamci/dni034

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title = "Explicit stability conditions for time-discrete vector Lur'e-type systems",

abstract = "Non-linear discrete-time Lur'e-type systems are considered. Explicit stability conditions are suggested. They are formulated in terms of the determinants of characteristic polynomials. Moreover, an estimate for the region of attraction of the zero solution is derived.",

keywords = "Non-linear discrete-time systems, Region of attraction, Stability",

author = "Gil, {M. I.} and Rigoberto Medina",

note = "Funding Information: This research was supported by the Kamea fund of the Israel and by the Fondecyt of the Chile, Chile, under Grant No 1.030.460.",

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AU - Medina, Rigoberto

N1 - Funding Information: This research was supported by the Kamea fund of the Israel and by the Fondecyt of the Chile, Chile, under Grant No 1.030.460.

PY - 2005/12/1

Y1 - 2005/12/1

N2 - Non-linear discrete-time Lur'e-type systems are considered. Explicit stability conditions are suggested. They are formulated in terms of the determinants of characteristic polynomials. Moreover, an estimate for the region of attraction of the zero solution is derived.

AB - Non-linear discrete-time Lur'e-type systems are considered. Explicit stability conditions are suggested. They are formulated in terms of the determinants of characteristic polynomials. Moreover, an estimate for the region of attraction of the zero solution is derived.

KW - Non-linear discrete-time systems

KW - Region of attraction

KW - Stability

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DO - 10.1093/imamci/dni034

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Explicit stability conditions for time-discrete vector Lur'e-type systems

Abstract

Keywords

ASJC Scopus subject areas

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