Abstract
In this paper, we study the modelling and nonlinear boundary stabilization problem of the modified generalized Korteweg–de Vries–Burgers equation (MGKdVB) when the spatial domain is [0 , 1]. First, the MGKdVB equation is derived using the long-wave approximation and perturbation method. Then, two nonlinear boundary controllers are proposed for this equation and the L2-global exponential stability of the solution is shown. Numerical simulations are given to illustrate the efficiency of the developed control schemes.
Original language | English |
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Article number | 449 |
Journal | Advances in Difference Equations |
Volume | 2019 |
Issue number | 1 |
DOIs | |
Publication status | Published - Dec 1 2019 |
Externally published | Yes |
Keywords
- Boundary control
- Exponential stability
- Modified generalized Korteweg–de Vries–Burgers equation
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics