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Article Dans Une Revue IMA Journal of Mathematical Control and Information Année : 2007

Estimates of the attraction region for a class of nonlinear time-delay systems

Résumé

In this paper, we propose various estimates of the attraction region for a class of nonlinear time-delay systems of the form ẋ=Ax(t) + (t - h (t) + f (x(t), x (t-h (t))) The approach is constructive and makes use of a Lyapunov-Krasovskii functional associated to the linear part. Several illustrative examples (delayed logistic equation, stabilizing nonlinear oscillations by delayed output feedback, congestion control in high-performance networks and hereditary phenomena in physics) complete the presentation. The author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications.

Dates et versions

hal-02271888 , version 1 (27-08-2019)

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Daniel Melchor-Aguilar, Silviu-Iulian Niculescu. Estimates of the attraction region for a class of nonlinear time-delay systems. IMA Journal of Mathematical Control and Information, 2007, 24 (4), pp.523-550. ⟨10.1093/imamci/dnm007⟩. ⟨hal-02271888⟩
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