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Stabilization and synchronization of Bose–Einstein condensate systems by single input linear controllers☆

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Abstract This paper investigates the control problems of the Bose–Einstein condensate (BEC) system. Firstly, a new linear feedback control method for the control problems of a class of chaotic systems… Click to show full abstract

Abstract This paper investigates the control problems of the Bose–Einstein condensate (BEC) system. Firstly, a new linear feedback control method for the control problems of a class of chaotic systems in any dimension based on triangle system structure. Then, based on the obtained method, the stabilization, synchronization, and anti-synchronization of BEC system are investigated extensively, and the corresponding controllers are designed. It should be pointed out that the obtained controllers are single input linear controllers, which are simpler than the existing results. Finally, numerical simulations are given to show the effectiveness and validity of the proposed results.

Keywords: einstein condensate; input linear; bose einstein; stabilization synchronization; single input; synchronization

Journal Title: Optik
Year Published: 2017

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