Stability analysis of a singularly perturbed coupled ODE-PDE system

Abstract— This paper is concerned with a coupled ODEPDE 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.

• Type: Journal
• Year: 2015
• Where: CDC
• Authors: Ying Tang, Christophe Prieur, Antoine Girard
• Keywords: CDC 2015, Control Systems