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Islam BOUSSAADA
Islam BOUSSAADA

Public Documents 1
Prescribing transport equation solution's decay via multiplicity manifold and autoreg...
Islam BOUSSAADA
Kaïs Ammari

Islam BOUSSAADA

and 3 more

August 16, 2023
This paper addresses the boundary control problem of the transport equation. Namely, we propose a control method, which is merely a delayed output feedback relying on a partial pole placement idea, that consists in assigning an appropriate exponential decay rate to the closed-loop system's solution. The proposed control structure appearing in the transport boundary, which has proven its effectiveness in controlling finite dimensional systems, consists of an autoregressive relation linking the transport equation's input and output. The obtained result provides an analytical lower bound for the solution's exponential decay.

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