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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com


Regional Weak and Strong Stabilization of Semilinear Systems with Decay Estimate

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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