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

Rafael Villafuerte (1) , Sabine Mondié (2) , Silviu-Iulian Niculescu (3)

1 UAEH - Universidad Autónoma del Estado de Hidalgo
2 CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional
3 L2S - Laboratoire des signaux et systèmes

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.

Domaines: Automatique; Automatique / Robotique

Rafael Villafuerte, Sabine 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, 2010, 27 (4), pp.493-511. ⟨10.1093/imamci/dnq033⟩. ⟨hal-00557970⟩