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Strong and weak stabilization of semi-linear parabolic systems
Journal article   Peer reviewed

Strong and weak stabilization of semi-linear parabolic systems

Rabie Zine and Abdessamad El Alami
IMA journal of mathematical control and information, Vol.37(1), pp.50-63
09/03/2020

Abstract

Automation & Control Systems Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
The goal of this paper is to study feedback stabilization of infinite semi-linear parabolic systems evolving on a spatial domain Omega. We consider a decomposition of the state space via the spectral properties of the system. Then we will apply this approach to both strong and weak stabilization problem using bounded feedback. Applications are presented.

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