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Feedback boundary stabilization for the Hirota-Satsuma system with time-delay
Victor Hugo Gonzalez Martinez, Juan Ricardo Muñoz
This work investigates the boundary stabilization problem of the Hirota-Satsuma system. In the problem under consideration, a boundary feedback law consisting of a linear combinati…
Boundary Exponential Stabilization for the Linear KP-II equation without Critical Size Restrictions
F. A. Gallego, J. R. Muñoz
In this paper, we delve into the intricacies of boundary stabilization for the linearized KP-II equation within the constraints of a bounded domain, a phenomenon known as ``critica…
On the boundary stabilization of the KdV-KdV system with time-dependent delay
Roberto de A. Capistrano-Filho, Boumediène Chentouf, Victor H. Gonzalez Martinez +1
The boundary stabilization problem of the Boussinesq KdV-KdV type system is investigated in this paper. An appropriate boundary feedback law consisting of a linear combination of a…
Stabilization of the Kawahara-Kadomtsev-Petviashvili equation with time-delayed feedback
Roberto de A. Capistrano-Filho, Victor H. Gonzalez Martinez, Juan Ricardo Muñoz
Results of stabilization for the higher order of the Kadomtsev-Petviashvili equation are presented in this manuscript. Precisely, we prove with two different approaches that under…