Exponential stability of a class of PDE's with dynamic boundary control.

Héctor Ramirez Estay (1) , Yann Le Gorrec (1)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

We show that a finite dimensional strictly passive linear controller exponentially stabilizes a large class of partial differential equations which are actuated through its boundaries on a one dimensional spatial domain. This is achieved by extending existing results on exponential stability of boundary control system with static boundary control to the case with dynamic boundary control. The approach is illustrated on a physical example.

Domaines: Micro et nanotechnologies/Microélectronique

Héctor Ramirez Estay, Yann Le Gorrec. Exponential stability of a class of PDE's with dynamic boundary control.. American Control Conference, ACC'13., Jan 2013, United States. pp.1-6. ⟨hal-00872239⟩