Результаты исследований: Научные публикации в периодических изданиях › статья
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.Результаты исследований: Научные публикации в периодических изданиях › статья
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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