Identification and control : some new challenges : Summer school on Identification and Control : some challenges, June 18-20, 2019, Monastir, Tunisia / Kaïs Ammari, Stéphane Gerbi, editors.

Format:

Book

Author/Creator:

Ammari, Kaïs, editor.

Contributor:

Gerbi, Stéphane, editor.

Series:

Contemporary Mathematics Series

Contemporary mathematics ; Volume 757

Language:

English

Subjects (All):

Mathematical analysis--Congresses.

Mathematical analysis.

Inverse problems (Differential equations)--Congresses.

Inverse problems (Differential equations).

Differential equations, Partial--Congresses.

Differential equations, Partial.

Control theory--Congresses.

Control theory.

Physical Description:

1 online resource (198 pages) : illustrations.

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2020]

Language Note:

English

Summary:

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.

Contents:

Lecture on Calderón problem / Yavar Kian

Multidimensional Borg-Levinson inverse spectral theory / Eric Soccorsi

Simultaneous and indirect control of waves : some recent developments and open problems / Louis Tebou

Observability and stabilization of the wave equation with moving boundary or pointwise feedback / Kaïs Ammari, Ahmed Bchatnia, and Karim el Mufti

Sharp estimates of the one-dimensional boundary control cost for parabolic systems / Manuel González-Burgos and Lydia Ouaili

Theoretical and numerical aspects related to the energy of some Timoshenko systems / Makram Hamouda

On the finite-time stabilization of some hyperbolic control systems by boundary feedback laws : Lyapunov approach / Chaker Jammazi and Ghada Ben Belgacem

A stochastic sub-grid viscosity model and wavelet based method for images assimilation / Souleymane Kadri Harouna and Etienne Mémin.

Notes:

Includes bibliographical references.

Description based on print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

9781470456962

1470456966

OCLC:

1223087072