Lyapunov Stability Analysis of a Model Describing Hematopoiesis

Walid Djema 1 Frederic Mazenc 1, 2 Catherine Bonnet 1, 2
2 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : The knowledge of Lyapunov-Krasovskii functionals offers strong advantages when investigating the local or global stability properties of equilibrium points of a system with delay. Unfortunately, in many cases the construction of these functionals is not an easy task. This is the case of the model describing hematopoiesis, which is a nonlinear system with distributed delays, which, according to some conditions, admits one or two equilibrium points. By contrast with approaches already used to study this model, we analyze the stability properties of its equilibrium points by constructing Lyapunov-Krasovskii functionals of two types.
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Submitted on : Saturday, September 19, 2015 - 11:00:02 AM
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Walid Djema, Frederic Mazenc, Catherine Bonnet. Lyapunov Stability Analysis of a Model Describing Hematopoiesis. 14th annual European Control Conference - ECC 2015, Jul 2015, Linz, Austria. pp.6, ⟨10.1109/ecc.2015.7330947 ⟩. ⟨hal-01202179⟩



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