Open AccessFeedback stabilization of bilinear coupled hyperbolic systems
Author(s) -
Ilyasse Lamrani,
Imad El Harraki,
Ali Boutoulout,
Fatima-Zahrae El Alaoui
Publication year - 2021
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2020434
Subject(s) - observability , bilinear interpolation , mathematics , nonlinear system , exponential function , control theory (sociology) , pure mathematics , mathematical analysis , control (management) , computer science , physics , statistics , quantum mechanics , artificial intelligence
This paper studies the problem of stabilization of some coupled hyperbolic systems using nonlinear feedback. We give a sufficient condition for exponential stabilization by bilinear feedback control. The specificity of the control used is that it acts on only one equation. The results obtained are illustrated by some examples where a theorem of Mehrenberger has been used for the observability of compactly perturbed systems [ 18 ].