Stabilization of the Korteweg-de Vries-Burgers equation with non-periodic boundary feedbacks

We consider the Korteweg-de Vries-Burgers (KdVB) equation on the domain [0,1]. We derive a control law which guaranteesL2-global exponential stability,H3-global asymptotic stability, andH3-semiglobal exponential stability.

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Bibliographic Details
Published inJournal of applied mathematics & computing Vol. 11; no. 1-2; pp. 81 - 108
Main Author Aassila, Mohammed
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.05.2003
Subjects
Applied mathematics
Asymptotic properties
Boundaries
Burgers equation
Control systems
Law
Mathematical analysis
Mathematical models
Robots
Stability
Stabilization
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Summary:We consider the Korteweg-de Vries-Burgers (KdVB) equation on the domain [0,1]. We derive a control law which guaranteesL2-global exponential stability,H3-global asymptotic stability, andH3-semiglobal exponential stability.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:1598-5865
1865-2085
DOI:10.1007/BF02935724