Adaptive stabilization of the Korteweg-de Vries-Burgers equation with unknown dispersion

DOI10.1155/2012/389450zbMath1251.93061OpenAlexW2043967263WikidataQ58906812 ScholiaQ58906812MaRDI QIDQ1760672

Xiaoyan Deng, Wenxia Chen, Lixin Tian

Publication date: 15 November 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/389450

zbMATH Keywords

Korteweg-de Vries-Burgers equationadaptive control problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Adaptive control/observation systems (93C40) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Cites Work

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• Controllability of the Korteweg-de Vries equation from the right Dirichlet boundary condition
• Boundary control of MKdV-Burgers equation
• Nonlinear boundary control of the generalized Burgers equation
• Adaptive control of Burgers' equation with unknown viscosity
• Burgers' equation with nonlinear boundary feedback: \(H^1\) stability, well-posedness and simulation

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