Adaptive Stabilization of the Korteweg-de Vries-Burgers Equation with Unknown Dispersion

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 reg...

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Bibliographic Details
Main Authors: Xiaoyan Deng, Lixin Tian, Wenxia Chen
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/389450