N. Smaoui (Kuwait)
Generalized Korteweg-de Vries-Burgers Equation, Nonlin ear Boundary Control, Stability.
The nonlinear boundary control problem of the General ized Korteweg-de Vrie-Burgers (GKdVB) equation: ¢¡¤£ ¥ ¢¦ ¦¨§©¢ ¢¦ ¦ ¦¨§ ¢ ¢¦ ! " #%$& is con sidered. Different control laws were derived for different values of ' (i.e., when ' is an even positive integer, and when ' is an odd positive integer) to show that the dynam ics of the GKdVB equation is globally exponentially sta ble in (0) 1 ! 2 . Numerical results using the finite element method are presented to support the analytical results.
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