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Bibliographic Details

Title: Stabilization of systems and Ingham-Beurling inequalities: Stabilization up to renormalization of dynamics systems and vectorials Ingham-Beu
Publisher: Editions universitaires europeennes
Publication Date: 2011
Language: English
ISBN 10: 6131573344
ISBN 13: 9786131573347
Binding: Softcover
Condition: Comme neuf

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Synopsis

The main idea of this thesis is to provide the stabilization and the controllability up to renormalization of linear dynamics systems with unbounded feedback . That is mean the exponential stability and the controllability holds in a modified space defined via a natural weight function. As the result we will exprime the exponential decay of the renormalized energy by an observability inequality type. The second axis is devoted to study the pointwise observability, controllability and exponential stabilization of vibrating systems. In order to establish satisfactory stabilization theorems we will introduce functions spaces depending on the arithmetical properties of the stabilization point. Working in this framework for vibrating strings, beams and also for a coupled string-beam system; as a result we will construct a pointwise feedbacks leading to arbitrarily large prescribed decay rates. Finally, we will prove new results concerning the vectorial Ingham-Beurling theorem.

About the Author

Alia Barhoumi, docteur en math�matiques �l'Universit� de Monastir, Tunisie. Ses champs de sp�cialisation couvrent les �quations aux d�riv�es partielles, le contr�le et la stabilisation de syst�mes.

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