Nonlinear adaptive boundary control of the modified generalized korteweg-de vries-burgers equation

B. Chentouf, N. Smaoui*, A. Alalabi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


In this paper, we study the nonlinear adaptive boundary control problem of the modified generalized Korteweg-de Vries-Burgers equation (MGKdVB) when the spatial domain is 0,1. Four different nonlinear adaptive control laws are designed for the MGKdVB equation without assuming the nullity of the physical parameters , μ, γ1, and γ2 and depending whether these parameters are known or unknown. Then, using Lyapunov theory, the L2-global exponential stability of the solution is proven in each case. Finally, numerical simulations are presented to illustrate the developed control schemes.

Original languageEnglish
Article number4574257
Publication statusPublished - 2020
Externally publishedYes

ASJC Scopus subject areas

  • Computer Science(all)
  • General

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