Authors
Ricardo Aguilar-López, Pablo A López-Pérez, Gerardo Lara-Cisneros, Ricardo Femat
Publication date
2016/4/25
Journal
International Journal of Modern Physics C
Volume
27
Issue
04
Pages
1650040
Publisher
World Scientific Publishing Company
Description
In this paper, a robust nonlinear feedback control scheme with adaptive gain is proposed to control the chaotic behavior in a Bose–Einstein condensate (BEC). The control goal concerns the track or regulation purposes. The BEC system is represented as stochastic ordinary differential equations with measured output perturbed by Gaussian noise, which represents the nature of the quantum systems. The convergence of the BEC control law is analyzed under the frame of the Lyapunov stability theory. Numerical experiments show an adequate performance of the proposed methodology under the required conditions. The results are applicable when the shape of the condensate is sufficiently simple.
Total citations
20162017201811
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