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Adaptive Stabilization of the Korteweg-de Vries-Burgers Equation with Unknown Dispersion
Joint Authors
Deng, Xiaoyan
Chen, Wenxia
Li-xin, Tian
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper studies the adaptive control problem of the Korteweg-de Vries-Burgers equation.
Using the Lyapunov function method, we prove that the closed-loop system including the parameter estimator as a dynamic component is globally L2 stable.
Furthermore, we show that the state of the system is regulated to zero by developing an alternative to Barbalat's lemma which cannot be used in the present situation.
The closed-loop system is shown to be well posed.
American Psychological Association (APA)
Deng, Xiaoyan& Li-xin, Tian& Chen, Wenxia. 2012. Adaptive Stabilization of the Korteweg-de Vries-Burgers Equation with Unknown Dispersion. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1028848
Modern Language Association (MLA)
Deng, Xiaoyan…[et al.]. Adaptive Stabilization of the Korteweg-de Vries-Burgers Equation with Unknown Dispersion. Journal of Applied Mathematics No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-1028848
American Medical Association (AMA)
Deng, Xiaoyan& Li-xin, Tian& Chen, Wenxia. Adaptive Stabilization of the Korteweg-de Vries-Burgers Equation with Unknown Dispersion. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-1028848
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028848