Abstract
In this paper, we consider the boundary con- trol 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 L 2 -global exponential stability of the solution is proved analytically. Numerical results us- ing the finite element method (FEM) are presented to illustrate the developed control schemes.
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