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Critical frequencies and parameters for linear delay systems: A Lyapunov matrix approach. / Ochoa, G.; Kharitonov, V.L.; Mondié, S.

в: Systems and Control Letters, № 9, 2013, стр. 781-790.

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Ochoa, G. ; Kharitonov, V.L. ; Mondié, S. / Critical frequencies and parameters for linear delay systems: A Lyapunov matrix approach. в: Systems and Control Letters. 2013 ; № 9. стр. 781-790.

BibTeX

@article{062ab18f63f5408f9b0fe70a05ccb4d7,
title = "Critical frequencies and parameters for linear delay systems: A Lyapunov matrix approach",
abstract = "A new method, based on recent results concerning the construction of the Lyapunov matrix of delay systems, reveals conditions under which the characteristic function has a root s0 such that -s0 is also a root. As the pure imaginary roots, which are crucial in the stability analysis of time delay systems, are of that type, this method gives rise to a novel approach for the delay independent and delay dependent stability analyses of systems with delay that are multiple of a basic delay, distributed delays and of a class of neutral type time delay systems. A number of examples are given to illustrate the approach and to show its strength. {\textcopyright} 2013 Elsevier B.V. All rights reserved.",
author = "G. Ochoa and V.L. Kharitonov and S. Mondi{\'e}",
year = "2013",
doi = "10.1016/j.sysconle.2013.05.010",
language = "English",
pages = "781--790",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",
number = "9",

}

RIS

TY - JOUR

T1 - Critical frequencies and parameters for linear delay systems: A Lyapunov matrix approach

AU - Ochoa, G.

AU - Kharitonov, V.L.

AU - Mondié, S.

PY - 2013

Y1 - 2013

N2 - A new method, based on recent results concerning the construction of the Lyapunov matrix of delay systems, reveals conditions under which the characteristic function has a root s0 such that -s0 is also a root. As the pure imaginary roots, which are crucial in the stability analysis of time delay systems, are of that type, this method gives rise to a novel approach for the delay independent and delay dependent stability analyses of systems with delay that are multiple of a basic delay, distributed delays and of a class of neutral type time delay systems. A number of examples are given to illustrate the approach and to show its strength. © 2013 Elsevier B.V. All rights reserved.

AB - A new method, based on recent results concerning the construction of the Lyapunov matrix of delay systems, reveals conditions under which the characteristic function has a root s0 such that -s0 is also a root. As the pure imaginary roots, which are crucial in the stability analysis of time delay systems, are of that type, this method gives rise to a novel approach for the delay independent and delay dependent stability analyses of systems with delay that are multiple of a basic delay, distributed delays and of a class of neutral type time delay systems. A number of examples are given to illustrate the approach and to show its strength. © 2013 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.sysconle.2013.05.010

DO - 10.1016/j.sysconle.2013.05.010

M3 - Article

SP - 781

EP - 790

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

IS - 9

ER -

ID: 7522510