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- W2043967263 abstract "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<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:math>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." @default.
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- W2043967263 date "2012-01-01" @default.
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- W2043967263 title "Adaptive Stabilization of the Korteweg-de Vries-Burgers Equation with Unknown Dispersion" @default.
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- W2043967263 doi "https://doi.org/10.1155/2012/389450" @default.
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