Distributed Control of the Generalized Korteweg-de Vries-Burgers Equation
Joint Authors
al-Jamal, Rasha H.
Smaoui, Nejib
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-06-23
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
The paper deals with the distributed control of the generalized Kortweg-de Vries-Burgers equation (GKdVB) subject to periodic boundary conditions via the Karhunen-Loève (K-L) Galerkin method.
The decomposition procedure of the K-L method is presented to illustrate the use of this method in analyzing the numerical simulations data which represent the solutions to the GKdVB equation.
The K-L Galerkin projection is used as a model reduction technique for nonlinear systems to derive a system of ordinary differential equations (ODEs) that mimics the dynamics of the GKdVB equation.
The data coefficients derived from the ODE system are then used to approximate the solutions of the GKdVB equation.
Finally, three state feedback linearization control schemes with the objective of enhancing the stability of the GKdVB equation are proposed.
Simulations of the controlled system are given to illustrate the developed theory.
American Psychological Association (APA)
Smaoui, Nejib& al-Jamal, Rasha H.. 2008. Distributed Control of the Generalized Korteweg-de Vries-Burgers Equation. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-19.
https://search.emarefa.net/detail/BIM-485881
Modern Language Association (MLA)
Smaoui, Nejib& al-Jamal, Rasha H.. Distributed Control of the Generalized Korteweg-de Vries-Burgers Equation. Mathematical Problems in Engineering No. 2008 (2008), pp.1-19.
https://search.emarefa.net/detail/BIM-485881
American Medical Association (AMA)
Smaoui, Nejib& al-Jamal, Rasha H.. Distributed Control of the Generalized Korteweg-de Vries-Burgers Equation. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-19.
https://search.emarefa.net/detail/BIM-485881
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485881