The articles cover new developments in control theory and inverse problems. First, the problem of Calder�n, which consists of determining a conductivity appearing in an elliptic equation from excitation and measurements on a part of the boundary of the domain, is studied. Second, an introduction to the mathematical analysis of inverse spectral problems of Borg- Levinson type is presented. Third, the control of multi-component systems of wave equations, focusing on the notion of simultaneous control (using the same control scheme in all components of the system at hand) and indirect control (using a single control for a system consisting of two components), is presented. Last, the study of the cost of control for parabolic systems, the finite time stabilization of hyperbolic control systems by boundary feedback laws, and image reconstruction by data assimilation are addressed.

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Bibliographic Details

Title: Identification and Control
Publisher: American Mathematical Society, US
Publication Date: 2021
Language: English
ISBN 10: 1470455471
ISBN 13: 9781470455477
Binding: Paperback
Condition: New
Weight: 360 grams

About this title

Synopsis

This volume contains the proceedings of the Summer School on Identification and Control: some challenges, held from June 18 20, 2019, in Monastir, Tunisia. The articles cover new developments in control theory and inverse problems. First, the problem of Calder�n, which consists of determining a conductivity appearing in an elliptic equation from excitation and measurements on a part of the boundary of the domain, is studied. Second, an introduction to the mathematical analysis of inverse spectral problems of Borg-Levinson type is presented. Third, the control of multi-component systems of wave equations, focusing on the notion of simultaneous control (using the same control scheme in all components of the system at hand) and indirect control (using a single control for a system consisting of two components), is presented. Last, the study of the cost of control for parabolic systems, the finite time stabilization of hyperbolic control systems by boundary feedback laws, and image reconstruction by data assimilation are addressed.

About the Author

Edited by Ka�s Ammari: University of Monastir, Monastir, Tunisia, St�phane Gerbi: CNRS & Universit� Savoie Mont Blanc, Bourget du Lac, France

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