Identification and Control: Some New Challenges
About this Title
Kaïs Ammari, University of Monastir, Monastir, Tunisia and Stéphane Gerbi, CNRS & Université Savoie Mont Blanc, Bourget du Lac, France, Editors
Publication: Contemporary Mathematics
Publication Year: 2020; Volume 757
ISBNs: 978-1-4704-5547-7 (print); 978-1-4704-5696-2 (online)
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 Calderón, 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.
Graduate students and research mathematicians interested in PDEs, inverse problems, and control and stabilization of PDEs.
Table of Contents
- Yavar Kian – Lecture on Calderón problem
- Éric Soccorsi – Multidimensional Borg-Levinson inverse spectral problems
- Louis Tebou – Simultaneous and indirect control of waves: Some recent developments and open problems
- Kaïs Ammari, Ahmed Bchatnia and Karim El Mufti – Observability and stabilization of the wave equation with moving boundary or pointwise feedback
- Manuel González-Burgos and Lydia Ouaili – Sharp estimates of the one-dimensional boundary control cost for parabolic systems
- Makram Hamouda – Theoretical and numerical aspects related to the energy of some Timoshenko systems
- Chaker Jammazi and Ghada Ben Belgacem – On the finite-time stabilization of some hyperbolic control systems by boundary feedback laws: Lyapunov approach
- Souleymane Kadri Harouna and Etienne Mémin – A stochastic sub-grid viscosity model and wavelet based method for images assimilation