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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


Strong Stabilization of Inhomogeneous Semilinear Systems

Discontinuity, Nonlinearity, and Complexity 13(2) (2024) 373--385 | DOI:10.5890/DNC.2024.06.014

A. El Alami$^{1}$, M. Chqondi$^{2}$

$^{1}$ Research Center STIS, Team M2CS, Department of Applied Mathematics and Informatics, ENSAM, Mohammed V University in Rabat, Madinat Al Irfane, Rabat, Morocco

$^{2}$ Laboratory LAMA, Department of Mathematics and Informatics, Sidi Mohamed Ben Abdellah University, Faculty of Sciences Dhar El Mahraz, FES, Morocco

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Abstract

In this paper we study feedback stabilization of inhomogeneous semi-linear control system on a Hilbert state space. The paper gives a feedback control that ensure the strong in term of approximate observability like assumptions. Applications to heat equations are provided.

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