Regional Feedback Stabilization for Infinite Semilinear Systems |
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| Authors: | Abdessamad El Alami Imad El Harraki Ali Boutoulout |
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| Affiliation: | 1.Department of Mathematics and Computer Science, Laboratory of Modeling Analysis and Control Systems, Faculty of Sciences,Moulay Ismail University,Meknes,Morocco;2.Ecole Nationale Supérieure des Mines de Rabat,Rabat,Morocco;3.Laboratory of Study and Research in Applied Mathematics, LERMA, Mohammadia School of Engineering,Mohammed V University in Rabat,Rabat,Morocco |
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| Abstract: | In this paper, we treat the problem of regional optimal stabilization of a class of nonlinear systems by using a switching feedback. Firstly, we proof that the switching control exponentially stabilizes the system on a subregion including the whole domain. Secondly, under a perturbation of the control operator, we show the robustness of our result. In the last part, the stabilizing feedback is characterized by the minimization of a regional cost even under a small perturbation. We conclude by giving different applications. |
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