An Adaptive Observer-Based Algorithm for Solving Inverse Source Problem for the Wave Equation
Joint Authors
Zayane, Chadia
Laleg-Kirati, Taous Meriem
Asiri, Sharefa
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-19
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Observers are well known in control theory.
Originally designed to estimate the hidden states of dynamical systems given some measurements, the observers scope has been recently extended to the estimation of some unknowns, for systems governed by partial differential equations.
In this paper, observers are used to solve inverse source problem for a one-dimensional wave equation.
An adaptive observer is designed to estimate the state and source components for a fully discretized system.
The effectiveness of the algorithm is emphasized in noise-free and noisy cases and an insight on the impact of measurements’ size and location is provided.
American Psychological Association (APA)
Asiri, Sharefa& Zayane, Chadia& Laleg-Kirati, Taous Meriem. 2015. An Adaptive Observer-Based Algorithm for Solving Inverse Source Problem for the Wave Equation. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074730
Modern Language Association (MLA)
Asiri, Sharefa…[et al.]. An Adaptive Observer-Based Algorithm for Solving Inverse Source Problem for the Wave Equation. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1074730
American Medical Association (AMA)
Asiri, Sharefa& Zayane, Chadia& Laleg-Kirati, Taous Meriem. An Adaptive Observer-Based Algorithm for Solving Inverse Source Problem for the Wave Equation. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074730
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074730
