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.
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页码：561 / 574
页数：13
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