Exponential convergence of an observer based on partial field measurements for the wave equation

DOI10.1155/2012/581053zbMath1264.93089OpenAlexW2124809716WikidataQ58912184 ScholiaQ58912184MaRDI QIDQ1954939

Nicolae Cîndea, Philippe Moireau, Dominique Chapelle, Maya de Buhan

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/581053

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Adaptive control/observation systems (93C40) Observability (93B07)

Related Items

A Luenberger observer for reaction-diffusion models with front position data ⋮ Iterative observer-based state and parameter estimation for linear systems ⋮ Output error minimizing back and forth nudging method for initial state recovery ⋮ An adaptive observer-based algorithm for solving inverse source problem for the wave equation ⋮ Numerical observers with vanishing viscosity for the 1d wave equation ⋮ Recovering the observable part of the initial data of an infinite-dimensional linear system with skew-adjoint generator ⋮ Stabilization and observer design for the wave equation ⋮ Analysis of an observer strategy for initial state reconstruction of wave-like systems in unbounded domains ⋮ Identification of weakly coupled multiphysics problems. application to the inverse problem of electrocardiography ⋮ Data assimilation of time under-sampled measurements using observers, the wave-like equation example

Cites Work

• Unnamed Item
• Recovering the initial state of an infinite-dimensional system using observers
• Joint state and parameter estimation for distributed mechanical systems
• Uniformly exponentially stable approximations for a class of damped systems
• Semigroups of linear operators and applications to partial differential equations
• Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity
• Explicit observability estimate for the wave equation with potential and its application
• Filtering for distributed mechanical systems using position measurements: perspectives in medical imaging
• Microlocal defect measures
• Locally Distributed Control and Damping for the Conservative Systems
• Mesures de défaut de compacité, application au système de Lamé
• IMPROVING CONVERGENCE IN NUMERICAL ANALYSIS USING OBSERVERS — THE WAVE-LIKE EQUATION CASE

This page was built for publication: Exponential convergence of an observer based on partial field measurements for the wave equation