Nonlinear boundary control of the unforced generalized Korteweg–de Vries–Burgers equation

被引：0

作者：

Nejib Smaoui

Alaa El-Kadri

Mohamed Zribi

机构：

[1] Kuwait University,Department of Mathematics and Computer Science

[2] Kuwait University,Department of Electrical Engineering

来源：

Nonlinear Dynamics | 2010年 / 60卷

关键词：

Unforced generalized Korteweg–de Vries–Burgers equation; Boundary control; Global stability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we consider the boundary control problem of the unforced generalized Korteweg–de Vries–Burgers (GKdVB) equation when the spatial domain is [0,1]. Three control laws are derived for this equation and the L2-global exponential stability of the solution is proved analytically. Numerical results using the finite element method (FEM) are presented to illustrate the developed control schemes.

引用

页码：561 / 574

页数：13

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