On Boundary Control of the Transport Equation. Assigning Real Spectra & Exponential Decay - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue IEEE Control Systems Letters Année : 2023

On Boundary Control of the Transport Equation. Assigning Real Spectra & Exponential Decay

Résumé

Recently, an intriguing property called coexistent-real-roots-induced-dominancy (CRRID) has been set and emphasized for some classes of linear time-invariant dynamical systems represented by retarded delay-differential equations. In this paper, we extend such a property to a class of neutral systems, and exploit it in the boundary control of the standard transport equation. Namely, by using the CRRID property, we show that one can arbitrarily and robustly prescribe the exponential decay of the closed-loop transport solution, yielding the prospect of applying the CRRID partial poles placement methodology to hyperbolic PDE's.
Fichier principal
Vignette du fichier
LCSS_2023_SBN.pdf (1.21 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-04194365 , version 1 (02-09-2023)
hal-04194365 , version 2 (27-11-2023)

Licence

Identifiants

Citer

Timothée Schmoderer, Islam Boussaada, Silviu-Iulian Niculescu. On Boundary Control of the Transport Equation. Assigning Real Spectra & Exponential Decay. IEEE Control Systems Letters, 2023, 7, pp.3591-3596. ⟨10.1109/LCSYS.2023.3337591⟩. ⟨hal-04194365v2⟩
143 Consultations
117 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More