This work is devoted to the design of boundary controls of physical systems that are described by semilinear hyperbolic balance laws. A computa-tional framework is presented that yields sufficient conditions for a boundary control to steer the system towards a desired state. The presented approach is based on a Lyapunov stability analysis and a CWENO-type reconstruction.

Numerical boundary control for semilinear hyperbolic systems / Gerster, S; Nagel, F; Sikstel, A; Visconti, G. - In: MATHEMATICAL CONTROL AND RELATED FIELDS. - ISSN 2156-8472. - 0:0(2023), p. 0. [10.3934/mcrf.2022040]

Numerical boundary control for semilinear hyperbolic systems

Gerster, S
;
Visconti, G
2023

Abstract

This work is devoted to the design of boundary controls of physical systems that are described by semilinear hyperbolic balance laws. A computa-tional framework is presented that yields sufficient conditions for a boundary control to steer the system towards a desired state. The presented approach is based on a Lyapunov stability analysis and a CWENO-type reconstruction.
2023
Semilinear hyperbolic balance laws; boundary control; Lyapunov sta-bilization; high-order discretization
01 Pubblicazione su rivista::01a Articolo in rivista
Numerical boundary control for semilinear hyperbolic systems / Gerster, S; Nagel, F; Sikstel, A; Visconti, G. - In: MATHEMATICAL CONTROL AND RELATED FIELDS. - ISSN 2156-8472. - 0:0(2023), p. 0. [10.3934/mcrf.2022040]
File allegati a questo prodotto
File Dimensione Formato  
Gerster_Numerical boundary_2023.pdf

solo gestori archivio

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 2.05 MB
Formato Adobe PDF
2.05 MB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1659775
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact