Identification and Control

Some New Challenges

Häftad, Engelska, 2021

1 769 kr

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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.

Produktinformation

Utgivningsdatum2021-01-30
Mått7 x undefined x undefined mm
Vikt360 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor185
FörlagAmerican Mathematical Society
ISBN9781470455477

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