An adaptive observer-based algorithm for solving inverse source problem for the wave equation

DOI10.1155/2015/796539zbMath1394.93029OpenAlexW2106464932WikidataQ57574832 ScholiaQ57574832MaRDI QIDQ1666606

Sharefa Asiri, Taous Meriem Laleg-Kirati, Chadia Zayane-Aissa

Publication date: 27 August 2018

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

Full work available at URL: https://doi.org/10.1155/2015/796539

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Observability (93B07) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (1)

Solutions for non-homogeneous wave equations subject to unusual and Neumann boundary conditions

Cites Work

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• Source estimation by full wave form inversion
• Recovering the initial state of an infinite-dimensional system using observers
• Solving an inverse problem for the wave equation by using a minimization algorithm and time-reversed measurements
• Joint state and parameter estimation for distributed mechanical systems
• A numerical algorithm for solving inverse problems of two-dimensional wave equations
• Exponential convergence of an observer based on partial field measurements for the wave equation
• Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control
• Output feedback stabilization of a one-dimensional wave equation with an arbitrary time delay in boundary observation
• IMPROVING CONVERGENCE IN NUMERICAL ANALYSIS USING OBSERVERS — THE WAVE-LIKE EQUATION CASE

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