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Communication Dans Un Congrès Année : 2015

Stability analysis of a singularly perturbed coupled ODE-PDE system

Résumé

This paper is concerned with a coupled ODE-PDE system with two time scales modeled by a perturbation parameter. Firstly, the perturbation parameter is introduced into the PDE system. We show that the stability of the full system is guaranteed by the stability of the reduced and the boundary-layer subsystems. A numerical simulation on a gas flow transport model is used to illustrate the first result. Secondly, an example is used to show that the full system can be unstable even though both subsystems are stable when the perturbation parameter is introduced into the ODE system.
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Dates et versions

hal-01276239 , version 1 (19-02-2016)

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Ying Tang, Christophe Prieur, Antoine Girard. Stability analysis of a singularly perturbed coupled ODE-PDE system. CDC 2015 - 54th IEEE Conference on Decision and Control, Dec 2015, Osaka, Japan. ⟨10.1109/CDC.2015.7402936⟩. ⟨hal-01276239⟩
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