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  4. Weak and strong stabilization for time-delay semi-linear systems governed by constrained feedback control

Weak and strong stabilization for time-delay semi-linear systems governed by constrained feedback control

MMC.
2021;
Volume 8, Number 4
: pp. 627–637
https://doi.org/10.23939/mmc2021.04.627
Received: May 23, 2021
Accepted: June 07, 2021

Mathematical Modeling and Computing, Vol. 8, No. 4, pp. 627–637 (2021)

Authors:
  1. Y. Benslimane
  2. A. Delbouh
  3. H. El Amri
1
Laboratory of Mathematics and Applications, ENS, Hassan II University
2
Laboratory of Mathematics and Applications, ENS, Hassan II University
3
Laboratory LMA ENS, Hassan II University of Casablanca

This paper is concerned with the issue of weak and strong stabilization for distributed semi-linear systems with time delay using a constrained feedback control.  The results of the semi-linear systems without delay are generalized for strong and weak stabilization cases.  Illustrating applications to hyperbolic and parabolic equations are considered.

semi-linear system
feedback stabilization
polynomial decay estimate
time delay
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