Identification and Control: Some New Challenges

ISBN-13: 9781470455477

Kaïs Ammari;Stéphane Gerbi

Opis

The articles cover new developments in control theory and inverse problems. First, the problem of Calderon, 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.

Spis treści

• Y. Kian, Lecture on Calderon problem
• E. Soccorsi, Multidimensional Borg-Levinson inverse spectral problems
• L. Tebou, Simultaneous and indirect control of waves: Some recent developments and open problems
• K. Ammari, A. Bchatnia, and K. El Mufti, Observability and stabilization of the wave equation with moving boundary or pointwise feedback
• M. Gonzalez-Burgos and L. Ouaili, Sharp estimates of the one-dimensional boundary control cost for parabolic systems
• M. Hamouda, Theoretical and numerical aspects related to the energy of some Timoshenko systems
• C. Jammazi and G. B. Belgacem, On the finite-time stabilization of some hyperbolic control systems by boundary feedback laws: Lyapunov approach
• S. K. Harouna and E. Memin, A stochastic sub-grid viscosity model and wavelet based method for images assimilation.