Standard

Exponential estimates for neutral time delay systems with multiple delays. / Kharitonov, Vladimir; Collado, Joaquín; Mondié, Sabine.

In: International Journal of Robust and Nonlinear Control, Vol. 16, No. 2, 25.01.2006, p. 71-84.

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

Harvard

Kharitonov, V, Collado, J & Mondié, S 2006, 'Exponential estimates for neutral time delay systems with multiple delays', International Journal of Robust and Nonlinear Control, vol. 16, no. 2, pp. 71-84. https://doi.org/10.1002/rnc.1041

APA

Kharitonov, V., Collado, J., & Mondié, S. (2006). Exponential estimates for neutral time delay systems with multiple delays. International Journal of Robust and Nonlinear Control, 16(2), 71-84. https://doi.org/10.1002/rnc.1041

Vancouver

Kharitonov V, Collado J, Mondié S. Exponential estimates for neutral time delay systems with multiple delays. International Journal of Robust and Nonlinear Control. 2006 Jan 25;16(2):71-84. https://doi.org/10.1002/rnc.1041

Author

Kharitonov, Vladimir ; Collado, Joaquín ; Mondié, Sabine. / Exponential estimates for neutral time delay systems with multiple delays. In: International Journal of Robust and Nonlinear Control. 2006 ; Vol. 16, No. 2. pp. 71-84.

BibTeX

@article{61c5bb5c6f534e0dbb55b7c584a237f7,
title = "Exponential estimates for neutral time delay systems with multiple delays",
abstract = "Exponential estimates and sufficient conditions for the exponential stability of linear neutral time delay for systems with multiple delays are given. The case of systems with uncertainties, including uncertainties in the difference operator, is considered. The proofs follows from new results on non-homogeneous difference equations evolving in continuous time combined with the Lyapunov-Krasovskii functionals approach. The conditions are expressed in terms of linear matrix inequalities. The particular case of neutral time delay systems with commensurate delays, which leads to less restrictive exponential estimates, is also addressed.",
keywords = "Exponential estimate, Linear matrix inequalities, Lyapunov-Krasovskii functional, Neutral time delay system",
author = "Vladimir Kharitonov and Joaqu{\'i}n Collado and Sabine Mondi{\'e}",
year = "2006",
month = jan,
day = "25",
doi = "10.1002/rnc.1041",
language = "English",
volume = "16",
pages = "71--84",
journal = "International Journal of Robust and Nonlinear Control",
issn = "1049-8923",
publisher = "Wiley-Blackwell",
number = "2",

}

RIS

TY - JOUR

T1 - Exponential estimates for neutral time delay systems with multiple delays

AU - Kharitonov, Vladimir

AU - Collado, Joaquín

AU - Mondié, Sabine

PY - 2006/1/25

Y1 - 2006/1/25

N2 - Exponential estimates and sufficient conditions for the exponential stability of linear neutral time delay for systems with multiple delays are given. The case of systems with uncertainties, including uncertainties in the difference operator, is considered. The proofs follows from new results on non-homogeneous difference equations evolving in continuous time combined with the Lyapunov-Krasovskii functionals approach. The conditions are expressed in terms of linear matrix inequalities. The particular case of neutral time delay systems with commensurate delays, which leads to less restrictive exponential estimates, is also addressed.

AB - Exponential estimates and sufficient conditions for the exponential stability of linear neutral time delay for systems with multiple delays are given. The case of systems with uncertainties, including uncertainties in the difference operator, is considered. The proofs follows from new results on non-homogeneous difference equations evolving in continuous time combined with the Lyapunov-Krasovskii functionals approach. The conditions are expressed in terms of linear matrix inequalities. The particular case of neutral time delay systems with commensurate delays, which leads to less restrictive exponential estimates, is also addressed.

KW - Exponential estimate

KW - Linear matrix inequalities

KW - Lyapunov-Krasovskii functional

KW - Neutral time delay system

UR - http://www.scopus.com/inward/record.url?scp=31544466789&partnerID=8YFLogxK

U2 - 10.1002/rnc.1041

DO - 10.1002/rnc.1041

M3 - Article

AN - SCOPUS:31544466789

VL - 16

SP - 71

EP - 84

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 2

ER -

ID: 9427672