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Article Dans Une Revue International Journal of Robust and Nonlinear Control Année : 2024

Prescribing transport equation solution's decay via multiplicity manifold and autoregressive boundary control

Résumé

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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Dates et versions

hal-04200203 , version 1 (08-09-2023)

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Kaïs Ammari, Islam Boussaada, Silviu‐iulian Niculescu, Sami Tliba. Prescribing transport equation solution's decay via multiplicity manifold and autoregressive boundary control. International Journal of Robust and Nonlinear Control, 2024, ⟨10.1002/rnc.7214⟩. ⟨hal-04200203⟩
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