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Discontinuity, Nonlinearity, and Complexity 8(4) (2019) 353--367 | DOI:10.5890/DNC.2019.12.001

A. El Alami, A. Boutoulout

Laboratory of Modeling Analysis & Control systems (MACS), Department of Mathematics, Moulay Ismail University, Faculty of Sciences Meknes, Morocco

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Abstract

The aim of this paper is to develop the question of the regional stabilization for infinite-semilinear parabolic systems on a spatial domain Ω. precisely the study of such system on a subregion ω of Ω. We consider a decomposition of the state space via the spectral properties of the system. Then we apply this approach to regional strong and weak stabilization problem using bounded feedback. Some applications and simulations are presented.

Acknowledgments

The authors wish to thank the referees for their helpful comments and suggestions. This work has been carried out with a grant from Hassan II Academy of Sciences and Technology.

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