Exponential stability of a class of PDEs with dynamic boundary control.Report as inadecuate




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1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies

Abstract : 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.





Author: Héctor Ramirez Estay - Yann Le Gorrec -

Source: https://hal.archives-ouvertes.fr/



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