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Nonlinear Adaptive Boundary Control of the Modified Generalized Korteweg–de Vries–Burgers Equation
Joint Authors
Chentouf, B.
Alalabi, A.
Smaoui, Nejib
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-09
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this paper, we study the nonlinear adaptive boundary control problem of the modified generalized Korteweg–de Vries–Burgers equation (MGKdVB) when the spatial domain is 0,1.
Four different nonlinear adaptive control laws are designed for the MGKdVB equation without assuming the nullity of the physical parameters ν, μ, γ1, and γ2 and depending whether these parameters are known or unknown.
Then, using Lyapunov theory, the L2-global exponential stability of the solution is proven in each case.
Finally, numerical simulations are presented to illustrate the developed control schemes.
American Psychological Association (APA)
Chentouf, B.& Smaoui, Nejib& Alalabi, A.. 2020. Nonlinear Adaptive Boundary Control of the Modified Generalized Korteweg–de Vries–Burgers Equation. Complexity،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1141955
Modern Language Association (MLA)
Chentouf, B.…[et al.]. Nonlinear Adaptive Boundary Control of the Modified Generalized Korteweg–de Vries–Burgers Equation. Complexity No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1141955
American Medical Association (AMA)
Chentouf, B.& Smaoui, Nejib& Alalabi, A.. Nonlinear Adaptive Boundary Control of the Modified Generalized Korteweg–de Vries–Burgers Equation. Complexity. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1141955
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141955