Stability analysis and estimate of the region of attraction of a human respiratory model

Abstract : In this paper, we complete the stability analysis of various human respiratory non-linear time delay models introduced in. More precisely, we present a detailed mathematical analysis of the stability of the nonlinear model trivial equilibrium , an estimate of its region of attraction and exponential estimates of the solutions starting in this region. The proposed approach is constructive and it is based on the use of Lyapunov-Krasovskii functionals of complete type for time-delay systems with a cross term in the time derivative.
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Rafael Villafuerte, S. Mondié, Silviu-Iulian Niculescu. Stability analysis and estimate of the region of attraction of a human respiratory model. IMA Journal of Mathematical Control and Information, Oxford University Press (OUP), 2010, 27 (4), pp.493-511. ⟨10.1093/imamci/dnq033⟩. ⟨hal-00557970⟩

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